Numerical Analysis, Differential Equations, Integral Equations, Fuzzy Integral Equations, Fractional Integro-Differential Equations.
103
Scopus Publications
2463
Scholar Citations
26
Scholar h-index
53
Scholar i10-index
Scopus Publications
Solution of fractional integro-differential equations with some existence and stability results Chahra Kechar, Ahmed A. Hamoud, Abdelouaheb Ardjouni, Homan Emadifar, Karim K. Ahmed Boundary Value Problems, 2026 The current study discusses boundary value problems of nonlinear fractional integro-differential equations with Riemann-Caputo derivatives. Some new existence and uniqueness results are proposed by using the Banach contraction principle and Krasnosel’skii fixed point theorems. Furthermore, some sufficient conditions are given to estimate the existence of integrable solution in \(L^{P}\) spaces. Also, we make use the Ulam-Hyers stability for the given problem to derive the desired results. Finally, an illustrative example is studied to support the obtained results.
Entropy measures based on Nirmala coindices for silicon carbide molecular graphs Muhammad Numan, Sadia Aabid, Sohail Ahmad, Ahmed M. Zidan, Ahmed A. Hamoud Scientific Reports, 2026 In this paper, we calculate and investigate the Nirmala coindex, first inverse Nirmala coindex and second inverse Nirmala coindex for the silicon carbide molecular network [Formula: see text]-I[p; q] by using its corresponding CoM-polynomial. Furthermore, new entropy measures based on these coindices are proposed to quantify the topological complexity of the network. The results reveal consistent correlations between network parameters (p, q) and entropy growth, reflecting increased structural irregularity and information content with molecular size. These findings suggest that Nirmala coindex-based entropies can serve as valuable descriptors for assessing physicochemical properties such as hardness, electrical conductivity, and catalytic activity in silicon-carbon materials.
Existence and Hyers-Ulam stability for boundary value problems of multi-term Caputo fractional integro-differential equations Chahra Kechar, Ahmed A. Hamoud, Abdelouaheb Ardjouni, Homan Emadifar, Karim K. Ahmed Fixed Point Theory and Algorithms for Sciences and Engineering, 2026 The present paper is devoted to discussing a class of nonlinear Caputo-type fractional integro-differential equations with two-point type boundary value conditions. We investigate the existence and uniqueness of the solutions by virtue of the classical Leray-Schauder alternative principle and the Banach contraction principle. Furthermore, by means of a novel Gronwall-type inequality, we prove the Hyers-Ulam stability of boundary value problems of multi-term Caputo fractional differential equations. Finally, some numerical examples are given to illustrate the results.
Fractional dynamics and optical soliton propagation in mono-mode fibers via the Fokas system Naveed Iqbal, Musaad S. Aldhabani, Noor Alam, Amjad E. Hamza, Wael W. Mohammed, Ahmed A. Hamoud Scientific Reports, 2026 The research investigates pulse propagation through mono-mode optical fibers using the fractional Fokas system by integrating the conformable fractional calculus with the generalized Riccati-Bernoulli sub-ODE method along with Bäcklund transformation. The figures demonstrate perturb kink soliton profiles using 2D plots for fractional-order parameter ( \(\alpha\) ) together with 3D plots for integer-order conditions to depict the solutions dynamic nature. The model demonstrates its physical operation range through different initial condition analyses which increases its potential for widespread application. The derived solutions demonstrate the ability of the combined approach to be an effective mathematical methodology that addresses various types of nonlinear wave phenomena. The optical solitons enable researchers to study energy transport and diffusion mechanisms in fractional-order systems specifically regarding pulse propagation in optical communication networks.
A TODIM based decision-making framework using intuitionistic double hierarchy linguistic terms for evaluating polymer absorbing algae in marine debris management Mehwish Tahir, Ahmed M. Zidan, Abdulkafi Mohammed Saeed, Ahmed A. Hamoud, Syed Inayat Ali Shah, Saleem Abdullah Scientific Reports, 2026 This study proposes a novel multiple-criteria group decision-making (MCGDM) approach for addressing marine debris caused by the excessive use of synthetic materials. The method integrates the intuitionistic double hierarchy linguistic term set (IDHLTS) with the TODIM framework to enhance decision-making under uncertainty. The IDHLTS combines the features of double hierarchy linguistic term sets with intuitionistic fuzzy sets, thereby capturing both membership and non-membership information to represent expert judgments more accurately. To aggregate decision information effectively, Hamacher operational rules and aggregation operators are employed due to their flexible, parametric nature. Furthermore, transformation functions, score functions, and distance measures are formally defined, and their mathematical properties are analyzed to ensure reliability. The TODIM method is incorporated to account for decision makers’ behavioral preferences, particularly loss aversion. To illustrate its practical relevance, a real-world case study is conducted to identify the most effective algal species for the remediation of synthetic debris in marine ecosystems. Microalgae are emphasized for their ability to decompose polymers through enzymatic and bioactive secretions, converting them into smaller fragments and assimilating the released carbon as a nutrient source. By applying the proposed MCGDM framework, environmentally sustainable algae with minimal ecological disruption are identified. Comparative analysis using classical approaches to MCDM, such as TOPSIS, weighted sum model (WSM), three-way decision (TWD), and grey relational analysis (GRA), it appears that despite slight variations in the intermediate ranking, all approaches find the same best and worst alternatives. It is notable that the proposed IDHLTS-TODIM approach encompasses more discrimination between alternatives by using the group decision-making structure, and the loss aversion behavior, which are not sufficiently considered by the benchmark approaches. The sensitivity analysis at various settings of the parameters also supports the stability and soundness of the ranking results. Sensitivity analysis further validates the feasibility, robustness, and stability of the proposed method. The findings demonstrate practical value of the approach, providing policymakers, environmental researchers, and marine conservationists with a systematic decision-support tool for implementing algae-based bioremediation strategies to mitigate synthetic marine debris.
ON HADAMARD-CAPUTO IMPLICIT FRACTIONAL INTEGRO-DIFFERENTIAL EQUATIONS WITH BOUNDARY FRACTIONAL CONDITIONS , AHMED A. HAMOUD, CHAHRA KECHAR, , ABDELOUAHEB ARDJOUNI, , HOMAN EMADIFAR, , ATUL KUMAR, , LAITH ABUALIGAH, , , , , and Kragujevac Journal of Mathematics, 2026 The purpose of this paper is to investigate the existence and uniqueness of solutions for nonlinear fractional implicit integro-differential equations of Hadamard-Caputo type with fractional boundary conditions. The reasoning is inspired by diverse classical fixed point theory, such as the Schauder and Banach fixed point theorems. The theoretical findings are illustrated through an example.
A fractal–fractional order modeling approach to understanding stem cell-chemotherapy combinations for cancer Esam Y. Salah, Bhausaheb Sontakke, Ahmed A. Hamoud, Homan. Emadifar, Atul Kumar Scientific Reports, 2025 The main objective of this work is to study the mathematical model that combines stem cell therapy and chemotherapy for cancer cells. We study the model using the fractal fractional derivative with the Mittag-Leffler kernel. In the analytical part, we study the existence of the solution and its uniqueness, which was studied based on the fixed point theory. The equilibrium points were also studied and discussed after stem cell therapy, and the approximate solutions for the given model were obtained using the Adam Bashford method, which depends on interpolation with Lagrange polynomials. Finally, the model was simulated using the Mathematica software, and through the figures, we found that the components of the model approach the equilibrium point, which indicates the stability of the model at the equilibrium point. Also, the result of the numerical simulation and graphic for the concentration of cells over time indicate the effects of the therapies on the decay rate of tumor cells and the growth rate of effector cells to modify the cancer patient's immune system. It is worth noting that we simulated all the model components with different fractional orders, confirming the effect of stem cell therapy and chemotherapy on the cells and the decay of cancer cells.
Novel results on impulsive Caputo-Hadamard fractional Volterra-Fredholm integro-differential equations with a new modeling integral boundary value problem Abdulrahman A. Sharif, Maha M. Hamood, Ahmed A. Hamoud, Kirtiwant P. Ghadle International Journal of Modeling Simulation and Scientific Computing, 2025 The purpose of this paper is to investigate, the existence and uniqueness of solutions for nonlinear fractional impulsive fractional Volterra–Fredholm integro-differential equations of the Caputo–Hadamard type, with a new modeling integral boundary value problem. The Krasnoselskii fixed-point theorem, Schaefer’s fixed point theorem, and the Banach contraction principle serve as the basis of this unique strategy and are used to achieve the desired results. An example illustrates the theoretical findings.
ON NEW UNIQUENESS RESULTS FOR RIEMANN-LIOUVILLE FRACTIONAL VOLTERRA-FREDHOLM INTEGRO-DIFFERENTIAL EQUATIONS WITH DEVIATING ARGUMENTS Dynamics of Continuous Discrete and Impulsive Systems Series A Mathematical Analysis, 2025
NEW RESULTS ON CAPUTO FRACTIONAL VOLTERRA-FREDHOLM INTEGRO-DIFFERENTIAL EQUATIONS WITH NONLOCAL CONDITIONS Turkish World Mathematical Society Journal of Applied and Engineering Mathematics, 2025
INVESTIGATING A CLASS OF GENERALIZED CAPUTO-TYPE FRACTIONAL VOLTERRA SYSTEMS Dynamics of Continuous Discrete and Impulsive Systems Series B Applications and Algorithms, 2024
EXISTENCE AND UNIQUENESS RESULTS FOR FRACTIONAL VOLTERRA-FREDHOLM INTEGRO DIFFERENTIAL EQUATIONS WITH INTEGRAL BOUNDARY CONDITIONS Dynamics of Continuous Discrete and Impulsive Systems Series A Mathematical Analysis, 2023
EXISTENCE, UNIQUENESS AND STABILITY RESULTS FOR FRACTIONAL NONLINEAR VOLTERRA-FREDHOLM INTEGRO-DIFFERENTIAL EQUATIONS Turkish World Mathematical Society Journal of Applied and Engineering Mathematics, 2023
Theoretical Analysis for a System of Nonlinear ϕ-Hilfer Fractional Volterra-Fredholm Integro-differential Equations Journal of Siberian Federal University Mathematics and Physics, 2023
New results on contractive type in cone 2-metric space Abdallah M. M. Badr, Basel Hardan, Ahmed A. Hamoud, Badr Saleh Al-Abdi, Faisal A. M. Ali, Jayashree Patil, Alaa A. Abdallah Wseas Transactions on Mathematics, 2023
EXISTENCE AND UNIQUENESS OF SOLUTIONS FOR THE NEUTRAL FRACTIONAL INTEGRO DIFFERENTIAL EQUATIONS Dynamics of Continuous Discrete and Impulsive Systems Series B Applications and Algorithms, 2022
SOME NEW RESULTS ON NONLINEAR FRACTIONAL ITERATIVE VOLTERRA-FREDHOLM INTEGRO DIFFERENTIAL EQUATIONS Turkish World Mathematical Society Journal of Applied and Engineering Mathematics, 2022
COINCIDENCE POINT AND COMMON FIXED POINT THEOREM FOR GENERALIZED HARDY-ROGERS TYPE ψ-CONTRACTION MAPPINGS IN A METRIC-LIKE SPACE WITH AN APPLICATION Dynamics of Continuous Discrete and Impulsive Systems Series B Applications and Algorithms, 2022
On η,γf,g -Contractions in Extended b -Metric Spaces Jayashree Patil, Basel Hardan, Ahmed A. Hamoud, Amol Bachhav, Homan Emadifar, Afshin Ghanizadeh, Seyyed Ahmad Edalatpanah, Hooshmand Azizi Advances in Mathematical Physics, 2022
Solving fractional volterra integro-differential equations by using alternative legendre functions Dynamics of Continuous Discrete and Impulsive Systems Series B Applications and Algorithms, 2021
A STUDY OF CAPUTO-HADAMARD FRACTIONAL VOLTERRA-FREDHOLM INTEGRO-DIFFERENTIAL EQUATIONS WITH NONLOCAL BOUNDARY CONDITIONS Turkish Journal of Inequalities, 2021
Thermal stresses and temperature profile in functionally graded material with internal heat generation in rectangular plate International Journal of Advanced Science and Technology, 2020
Comparative analysis of cpu scheduling algorithms: Simulation and its applications International Journal of Advanced Science and Technology, 2020
The reliable modified Laplace Adomian decomposition method to solve fractional Volterra-Fredholm integro differential equations Dynamics of Continuous Discrete and Impulsive Systems Series B Applications and Algorithms, 2019
A study of some effective techniques for solving Volterra-Fredholm integral equations Journal of Automation and Information Sciences, 2019
An existence and convergence results for Caputo fractional Volterra integro-differential equations Jordan Journal of Mathematics and Statistics, 2019
A study of some effective techniques for solving Volterra-Fredholm integral equations Dynamics of Continuous Discrete and Impulsive Systems Series A Mathematical Analysis, 2019
Some new uniqueness results for fractional integro-differential equations Nonlinear Functional Analysis and Applications, 2019
A TODIM based decision-making framework using intuitionistic double hierarchy linguistic terms for evaluating polymer absorbing algae in marine debris management M Tahir, AM Zidan, AM Saeed, AA Hamoud, SIA Shah, S Abdullah Scientific Reports , 2026 2026
Theoretical Analysis of Uniqueness and Stability for Nonlinear Volterra–Fredholm Systems AA Hamoud Bol. Soc. Paran. Mat. 44 (10), 1-19 , 2026 2026
Fractional dynamics and optical soliton propagation in mono-mode fibers via the Fokas system I Naveed, A Musaad S., A Noor, H Amjad E., W W., Mohammed, ... Scientific Reports , 2026 2026
Existence and Hyers-Ulam stability for boundary value problems of multi-term Caputo fractional integro-differential equations C Kechar, AA Hamoud, A Ardjouni, H Emadifar, KK Ahmed Fixed Point Theory and Algorithms for Sciences and Engineering 2026 (https … , 2026 2026
On Hadamard-Caputo implicit fractional integro-differential equations with boundary fractional conditions AA Hamoud, C Kechar, A Ardjouni, H Emadifar, A Kumar, L Abualigah Kragujevac Journal of Mathematics 5 (3), 491-504 , 2026 2026 Citations: 14
Solution of fractional integro-differential equations with some existence and stability results C Kechar, AA Hamoud, A Ardjouni, H Emadifar, KK Ahmed Boundary Value Problems , 2025 2025 Citations: 2
Entropy measures based on Nirmala coindices for silicon carbide molecular graphs M Numan, S Aabid, S Ahmad, AM Zidan, AA Hamoud Scientific Reports , 2025 2025
A novel study for a class of nonlinear fuzzy fractional Volterra-Fredholm integro-differential equations AA Sharif, MM Hamood, AA Hamoud, KP Ghadle Discontinuity, Nonlinearity, and Complexity 14 (02), 407-415 , 2025 2025 Citations: 3
Novel results on impulsive Caputo–Hadamard fractional Volterra–Fredholm integro-differential equations with a new modeling integral boundary value problem. AA Sharif, MM Hamood, AA Hamoud, KP Ghadle International Journal of Modeling, Simulation & Scientific Computing 16 (2) , 2025 2025 Citations: 5
Sumudu residual power series method to solve time-fractional Fisher’s equation R Pant, G Arora, H Emadifar, AA Hamoud Mathematics Open 4, 2450010 , 2025 2025
A fractal–fractional order modeling approach to understanding stem cell-chemotherapy combinations for cancer EY Salah, B Sontakke, AA Hamoud, H Emadifar, A Kumar Scientific Reports 15 (1), 3465 , 2025 2025 Citations: 14
THE KULKARNI-NOMIZU PRODUCT IN G𝔅K - 5RF n BY LIE-DERIVATIVE AM AL-QASHBARI, AA Abdallah, SM Baleedi, AA Hamoud, H EMADIFAR Journal of Applied and Pure Mathematics 7 (3_4), 277-291 , 2025 2025 Citations: 1
NEW RESULTS ON CAPUTO FRACTIONAL VOLTERRA-FREDHOLM INTEGRO-DIFFERENTIAL EQUATIONS WITH NONLOCAL CONDITIONS AA Sharif, AA Hamoud, MM Hamood, KP Ghadle TWMS J. App. and Eng. Math. 15 (2), 459-472 , 2025 2025 Citations: 6
On Nonlinear Generalized Caputo Fractional Implicit Volterra-Fredholm Model SAM Jameel, AA Hamoud Discontinuity, Nonlinearity, and Complexity 14 (2), 439-450 , 2025 2025 Citations: 5
On New Uniqueness Results for Riemann-Liouville Fractional Volterra-Fredholm Integro-Differential Equations with Deviating Arguments AA Sharif, AA Hamoud, MM Hamood, KP Ghadle Dynamics of Continuous, Discrete and Impulsive Systems, Series A … , 2025 2025
Developing fixed point literature on the Branciari-Bakhtin-metric space B Hardan, AA Hamoud, K Ghadle, AA Abdallah, H Emadifar Journal of Finsler Geometry and its Applications 5 (2), 25-29 , 2024 2024
Heat Transfer and Flow of Natural Convection past a Semi-infinite Vertical Plate FH Oyelami, H Emadifar, ES Fadugba, M Khademi, AA Hamoud Contemporary Mathematics, 2840-2847 , 2024 2024 Citations: 2
EXISTENCE RESULTS FOR BOUNDARY VALUE PROBLEMS OF VOLTERRA-FREDHOLM SYSTEM INVOLVING CAPUTO DERIVATIVE SM Atshan, AA Hamoud Nonlinear Functional Analysis and Applications, 545-558 , 2024 2024 Citations: 2
A decision support system to utilize leftovers by using meta-heuristic technique S Muhammad, MM Al-Sawalha, M Alqudah, R Ali, R Shah, AA Hamoud 2024
Analysis of Hilfer fractional Volterra-Fredholm system SAM Jameel, SA Rahman, AA Hamoud Nonlinear Functional Analysis and Applications, 259-273 , 2024 2024 Citations: 8
MOST CITED SCHOLAR PUBLICATIONS
Existence and uniqueness of solutions for fractional neutral volterra-fredholm integro differential equations A Hamoud Advances in the Theory of Nonlinear Analysis and its Application 4 (4), 321-331 , 2020 2020 Citations: 131
Traveling wave solutions to the Boussinesq equation via Sardar sub-equation technique T Muhammad, AA Hamoud, H Emadifar, FK Hamasalh, H Azizi, ... AIMS Mathematics 7, 11134-11149 , 2022 2022 Citations: 101
Modified Adomian decomposition method for solving fuzzy Volterra-Fredholm integral equations A Hamoud, K Ghadle J. Indian Math. Soc 85 (1-2), 52-69 , 2018 2018 Citations: 101
The Approximate Solutions of Fractional Integro-Differential Equation by Using Modified Adomian Decompostion Method AA Hamoud, KP Ghadle, SM Atshan Khayyam Journal of Mathematics 5 (1), 21-39 , 2019 2019 Citations: 100
Some new existence, uniqueness and convergence results for fractional Volterra-Fredholm integro-differential equations AA Hamoud, KP Ghadle Journal of Applied and Computational Mechanics 5 (1), 58-69 , 2019 2019 Citations: 97
Existence and uniqueness theorems for fractional Volterra-Fredholm integro-differential equations AA Hamoud, KP Ghadle, G M Sh B Issa International Journal of Applied Mathematics 31 (3), 333-348 , 2018 2018 Citations: 95
THE APPROXIMATE SOLUTIONS OF FRACTIONAL VOLTERRA-FREDHOLM INTEGRO-DIFFERENTIAL EQUATIONS BY USING ANALYTICAL TECHNIQUES A Hamoud, K Ghadle Probl. Anal. 25 (1), 41-58 , 2018 2018 Citations: 93
Modified Laplace decomposition method for fractional Volterra-Fredholm integro-differential equations AA Hamoud, KP Ghadle Journal of Mathematical Modeling 6 (1), 91-104 , 2018 2018 Citations: 90
Usage of the homotopy analysis method for solving fractional Volterra-Fredholm integro-differential equation of the second kind A Hamoud, K Ghadle Tamkang Journal of Mathematics 49 (4), 301-315 , 2018 2018 Citations: 80
Existence and uniqueness of the solution for Volterra–Fredholm integro-differential equations AA Hamoud, KP Ghadle Журнал Сибирского федерального университета. Серия «Математика и физика» 11 … , 2018 2018 Citations: 70
Homotopy Analysis Method for the First Order Fuzzy Volterra-Fredholm Integro-differential Equations AA Hamoud, KP Ghadle Indonesian Journal of Electrical Engineering and Computer Science 11 (3 … , 2018 2018 Citations: 64
THE COMBINED MODIFIED LAPLACE WITH ADOMIAN DECOMPOSITION METHOD FOR SOLVING THE NONLINEAR VOLTERRA-FREDHOLM INTEGRO DIFFERENTIAL EQUATIONS AA Hamoud, KP Ghadle Journal of the Korean Society for Industrial and Applied Mathematics 21 (1 … , 2017 2017 Citations: 60
THE RELIABLE MODIFIED OF LAPLACE ADOMIAN DECOMPOSITION METHOD TO SOLVE NONLINEAR INTERVAL VOLTERRA-FREDHOLM INTEGRAL EQUATIONS AA Hamoud, KP Ghadle Korean J. Math. 25 (3), 323-334 , 2017 2017 Citations: 60
A study of some iterative methods for solving fuzzy Volterra-Fredholm integral equations AA Hamoud, A Azeez, K Ghadle Indonesian Journal of Electrical Engineering and Computer Science 11 (3 … , 2018 2018 Citations: 57
Numerical solutions of fuzzy integro-differential equations of the second kind MS Bani Issa, AA Hamoud, KP Ghadle Journal of Mathematics and Computer Science , 2020 2020 Citations: 48
The Analysis of Fractional-Order Proportional Delay Physical Models via a Novel Transform M Alesemi, N Iqbal, AA Hamoud Complexity , 2022 2022 Citations: 46
On The Numerical Solution of Nonlinear Volterra-Fredholm Integral Equations by Variational Iteration Method AA Hamoud, KP Ghadle International Journal of Advanced Scientific and Technical Research 3 (Issue … , 2016 2016 Citations: 46
Laplace discrete decomposition method for solving nonlinear Volterra-Fredholm integro-differential equations LA Dawood, AA Hamoud, NM Mohammed Journal of Mathematics and Computer Science 21, 158–163 , 2020 2020 Citations: 42
USAGE OF THE MODIFIED VARIATIONAL ITERATION TECHNIQUE FOR SOLVING FREDHOLM INTEGRO-DIFFERENTIAL EQUATIONS AA Hamoud, LA Dawood, KP Ghadle, SM Atshan International Journal of Mechanical and Production Engineering Research and … , 2019 2019 Citations: 41
EXISTENCE AND UNIQUENESS RESULTS FOR VOLTERRA-FREDHOLM INTEGRO DIFFERENTIAL EQUATIONS A HAMOUD, NM MOHAMMED, K GHADLE Advances in the Theory of Nonlinear Analysis and its Application 4 (4), 361-372 , 2020 2020 Citations: 38
