Mathematics, Numerical Analysis, Modeling and Simulation
14
Scopus Publications
342
Scholar Citations
9
Scholar h-index
8
Scholar i10-index
Scopus Publications
On some contribution of finite difference methods for fractional diffusion equations Selected Topics in Fractional Differential Equations, 2025
METHOD OF UPPER-LOWER SOLUTIONS FOR NONLINEAR SYSTEM OF HILFER FRACTIONAL REACTION-DIFFUSION EQUATIONS Dynamics of Continuous Discrete and Impulsive Systems Series B Applications and Algorithms, 2025
APPLICATIONS OF SUMUDU TRANSFORM TO ECONOMIC MODELS Palestine Journal of Mathematics, 2022
Self-similarity techniques for chaotic attractors with many scrolls using step series switching Emile Franc Doungmo Goufo, Chokkalingam Ravichandran, Gunvant A. Birajdar Mathematical Modelling and Analysis, 2021 Highly applied in machining, image compressing, network traffic prediction, biological dynamics, nerve dendrite pattern and so on, self-similarity dynamic represents a part of fractal processes where an object is reproduced exactly or approximately exact to a part of itself. These reproduction processes are also very important and captivating in chaos theory. They occur naturally in our environment in the form of growth spirals, romanesco broccoli, trees and so on. Seeking alternative ways to reproduce self-similarity dynamics has called the attention of many authors working in chaos theory since the range of applications is quite wide. In this paper, three combined notions, namely the step series switching process, the Julia’s technique and the fractal-fractional dynamic are used to create various forms of self-similarity dynamics in chaotic systems of attractors, initially with two, five and seven scrolls. In each case, the solvability of the model is addressed via numerical techniques and related graphical simulations are provided. It appears that the initial systems are able to trigger a self-similarity process that generates the exact or approximately exact copy of itself or part of itself. Moreover, the dynamics of the copies are impacted by some model’s parameters involved in the process. Using mathematical concepts to re-create features that usually occur in a natural way proves to be a prowess as related applications are many for engineers.
An implicit finite difference method for semilinear time-fractional diffusion equation Dynamics of Continuous Discrete and Impulsive Systems Series A Mathematical Analysis, 2020
METHOD OF UPPER-LOWER SOLUTIONS FOR NONLINEAR SYSTEM OF HILFER FRACTIONAL REACTION-DIFFUSION EQUATIONS PDKJA Nanware, GA Birajdar 2025
MONOTONE METHOD FOR NONLINEAR HILFER FRACTIONAL REACTION-DIFFUSION EQUATIONS PD Kundgar, JA Nanware, GA Birajdar Nonlinear Functional Analysis and Applications 29 (3), 753-767 , 2024 2024 Citations: 1
Empowering rural women through collective action: An exploration of women farmer producer companies in Osmanabad district, Maharashtra A Pandhare, G Birajdar Indian Journal of Agricultural Marketing 37 (3), 245-246 , 2023 2023
Analytical Solution of ψ Fractional Initial Value Problems GA Birajdar, P Dole, EFD Goufo Progr. Fract. Differ. Appl, to appear in 9 (4) , 2023 2023 Citations: 2
Mathematical methods for Integro-differential equations and their applications GABN Giribabu Nova Science Publisher , 2023 2023
APPLICATIONS OF SUMUDU TRANSFORM TO ECONOMIC MODELS. JA Nanware, NG Patil, GA Birajdar Palestine Journal of Mathematics 11 (3) , 2022 2022 Citations: 17
Reaction Model by Adomian Decomposition Method GA Birajdar Mathematical Methods for Engineering Applications: ICMASE 2021, Salamanca … , 2022 2022
Acknowledgment to Reviewers of Fractal Fract in 2021 Fractal Fract Editorial Office Fractal and Fractional 6 (2), 70 , 2022 2022
Sericulture as a Sustainable Livelihood Source: A Study of Osmanabad District in Maharashtra, India A Pandhare, G Birajdar Indian Journal of Agricultural Marketing 36 (3), 323-324 , 2022 2022
Editorial Office. Acknowledgment to Reviewers of Fractal Fract in 2021 F Fract Fractal Fract 6, 70 , 2022 2022
A Solution of Fractional Bio-Chemical Reaction Model by Adomian Decomposition Method GA Birajdar International Conference on Mathematics and its Applications in Science and … , 2022 2022 Citations: 3
Self-Similarity Techniques for Chaotic Attractors with Many Scrolls Using Step Series Switching CRGAB Emile Franc Doungmo Goufoa Mathematical Modelling and Analysis 26 (4), 591-611 , 2021 2021 Citations: 55
Numerical Modeling and Computer Simulation D Cvetković, G Birajdar BoD–Books on Demand , 2020 2020 Citations: 6
A New Approach for Non-linear Fractional Heat Transfer Model by Adomian Decomposition Method GA Birajdar Mathematical Analysis and Computing: ICMAC 2019, Kalavakkam, India, December … , 2020 2020 Citations: 7
LAPLACE DECOMPOSITION METHOD FOR NONLINEAR BURGER’S-FISHER’S EQUATION GAB AM RAO, AS WARKE, AH AGADI Advances in Mathematics: Scientific Journal 9 (3), 1163-1180 , 2020 2020 Citations: 4
Modified Trapezoidal Method for Solving Ordinary Differential Equations, Far East Journal of Mathematical Sciences. RKDGAB R. M. Dhaigude Far East Journal of Mathematical Sciences 119 (2), 105-210 , 2019 2019
Local Attractivity of Solutions of Generalized Cauchy-type Problem of Fractional Order arXiv: submit/2358457. math SP Bhairat, GA Birajdar CA , 2018 2018 Citations: 2
Finite Difference Schemes for Variable Order Time-Fractional First Initial Boundary Value Problems GA Birajdar, MM Rashidi Applications and Applied Mathematics: An International Journal 12 (1), 112-135 , 2017 2017 Citations: 5
Impact of Producer Companies on Farmers: A case study of the Farmer Producer Organisation in Osmanabad District, Maharashtra N Ranjan Unpublished Bachelor research report). TISS, Tuljapur , 2017 2017
Use of Natural Resources and Changing Trend of Livelihood of Kumbhar and Dhiwar Community in Mundhari village of Bhandara, Maharashtra A Tumsare Tiss Tuljapur , 2017 2017
MOST CITED SCHOLAR PUBLICATIONS
Numerical solution of time fractional Navier-Stokes equation by discrete Adomian decomposition method GA Birajdar Nonlinear Engineering 3 (1), 21-26 , 2014 2014 Citations: 72
Self-Similarity Techniques for Chaotic Attractors with Many Scrolls Using Step Series Switching CRGAB Emile Franc Doungmo Goufoa Mathematical Modelling and Analysis 26 (4), 591-611 , 2021 2021 Citations: 55
Adomian decomposition method for fractional Benjamin-Bona-Mahony-Burger’s equations DB Dhaigude, GA Birajdar, VR Nikam Int. J. Appl. Math. Mech 8 (12), 42-51 , 2012 2012 Citations: 51
Numerical solution of system of fractional partial differential equations by discrete Adomian decomposition method DB Dhaigude, GA Birajdar Journal of Fractional Calculus Application 3 (12), 1-11 , 2012 2012 Citations: 41
Numerical Solution of Fractional Partial Differential Equations by Discrete Adomian Decomposition Method DB Dhaigude, GA Birajdar Advances in Applied Mathematics and Mechanics 6 (1), 12 , 2013 2013 Citations: 40
APPLICATIONS OF SUMUDU TRANSFORM TO ECONOMIC MODELS. JA Nanware, NG Patil, GA Birajdar Palestine Journal of Mathematics 11 (3) , 2022 2022 Citations: 17
An Implicit Numerical Method for Semilinear Space-time Fractional Diffusion Equation GA BIRAJDAR Walailak Journal of Science and Technology (WJST) 12 (11) , 2014 2014 Citations: 13
Stability of Nonlinear Fractional Diffusion Equation GA Birajdar LIBERTAS MATHEMATICA (new series) 36 (1), 33-44 , 2016 2016 Citations: 10
An Implicit Numerical Method for Semilinear Fractional Diffusion Equation G Birajdar, DB Dhaigude Elsevier , 2014 2014 Citations: 9
A New Approach for Non-linear Fractional Heat Transfer Model by Adomian Decomposition Method GA Birajdar Mathematical Analysis and Computing: ICMAC 2019, Kalavakkam, India, December … , 2020 2020 Citations: 7
Numerical Modeling and Computer Simulation D Cvetković, G Birajdar BoD–Books on Demand , 2020 2020 Citations: 6
Finite Difference Schemes for Variable Order Time-Fractional First Initial Boundary Value Problems GA Birajdar, MM Rashidi Applications and Applied Mathematics: An International Journal 12 (1), 112-135 , 2017 2017 Citations: 5
LAPLACE DECOMPOSITION METHOD FOR NONLINEAR BURGER’S-FISHER’S EQUATION GAB AM RAO, AS WARKE, AH AGADI Advances in Mathematics: Scientific Journal 9 (3), 1163-1180 , 2020 2020 Citations: 4
METHODS OF SOLVING FRACTIONAL DIFERENTIAL EQUATIONS OF ORDER α(0 < α < 1) JA Nanware, G Birajdar Bulletin of the Marathwada Mathematical Society 15 (2), 40-53 , 2014 2014 Citations: 4
A Solution of Fractional Bio-Chemical Reaction Model by Adomian Decomposition Method GA Birajdar International Conference on Mathematics and its Applications in Science and … , 2022 2022 Citations: 3
Analytical Solution of ψ Fractional Initial Value Problems GA Birajdar, P Dole, EFD Goufo Progr. Fract. Differ. Appl, to appear in 9 (4) , 2023 2023 Citations: 2
Local Attractivity of Solutions of Generalized Cauchy-type Problem of Fractional Order arXiv: submit/2358457. math SP Bhairat, GA Birajdar CA , 2018 2018 Citations: 2
MONOTONE METHOD FOR NONLINEAR HILFER FRACTIONAL REACTION-DIFFUSION EQUATIONS PD Kundgar, JA Nanware, GA Birajdar Nonlinear Functional Analysis and Applications 29 (3), 753-767 , 2024 2024 Citations: 1
METHOD OF UPPER-LOWER SOLUTIONS FOR NONLINEAR SYSTEM OF HILFER FRACTIONAL REACTION-DIFFUSION EQUATIONS PDKJA Nanware, GA Birajdar 2025
Empowering rural women through collective action: An exploration of women farmer producer companies in Osmanabad district, Maharashtra A Pandhare, G Birajdar Indian Journal of Agricultural Marketing 37 (3), 245-246 , 2023 2023
