ON q-ANALOGUES OF TARIG TRANSFORM Palestine Journal of Mathematics, 2026
Solution of Caputo Generalized Bagley–Torvik Equation Using the Tarig Transform Lata Chanchlani, Manisha, D. L. Suthar, S. D. Purohit Journal of Applied Mathematics, 2026 A fractional‐order differential equation called the Bagley–Torvik equation describes the behavior of viscoelastic damping. We employed the newly defined Tarig transform in this study to find the analytic solution to the Caputo generalized Bagley–Torvik equation. Furthermore, as special examples, solutions to some specific Bagley–Torvik‐type problems have been obtained. As the solutions acquired by this method coincide well with those obtained by previous methods, the Tarig transform is an efficient, simple method with a high level of accuracy.
Fractional Lotka–Volterra equations by fractional reduced differential transform method Pratibha Manohar, Lata Chanchlani, Vikram Kumar, S.D. Purohit, D.L. Suthar Partial Differential Equations in Applied Mathematics, 2024 The Lotka–Volterra model arising in biology for simulating interactions between two species is considered in the paper with fractional order derivatives in Caputo sense. Two cases of the model are solved numerically using fractional reduced differential transform method (FRDTM). In both the cases, the predator and prey populations are computed for different fractional orders, over a range of time and absolute errors are studied for integer order. The results are presented in the form of tables and graphs depicting accuracy of the FRDTM and its agreement with the model’s dynamics.
q-ANALOGUE OF HILFER-KATUGAMPOLA FRACTIONAL DERIVATIVES AND APPLICATIONS Ishfaq Ahmad Mallah, Lata Chanchlani, Subhash Alha South East Asian Journal of Mathematics and Mathematical Sciences, 2023 A novel qp-variant of the q−Mittag-Leffler function and a quantum analogue pDAlpha,β a±,q of the Hilfer-Katugampola fractional derivative are defined. Then, generalizations of the q−Taylor's formula and the q−differential transform and its inverse are obtained using the operator pDAlpha,β a±,q. Additionally, a few properties of the newly defined q-differential transform are established. Finally, three proposed fractional q-difference equations are solved to show the effectiveness of the transform.
Applications of Elzaki decomposition method to fractional relaxation-oscillation and fractional biological population equations Lata Chanchlani, Mohini Agrawal, Rupakshi Mishra Pandey, Sunil Dutt Purohit, D. L. Suthar Applied Mathematics in Science and Engineering, 2023 Elzaki decomposition method (EDM) is adopted to deal with the fractional-order relaxation and damped oscillation equation along with time-fractional spatial diffusion biological population model in different suitable habitat situations. In accordance with the graphs for the solutions obtained, the fractional relaxation exhibits super-slow phenomenon due to its extended descent, and fractional damped oscillation is an intermediate process that explains damped oscillation dynamic systems induced by some attenuated oscillations. The biological population model of time-fractional spatial diffusion depicts a rapid rise in population density in an ecosystem in a suitable habitat that is migrating from an unfavourable zone.
On generalized composite fractional derivative Walailak Journal of Science and Technology, 2014
Solution of nonlinear q-schrödinger equation by two dimensional q-differential transform method Kuwait Journal of Science, 2013
RECENT SCHOLAR PUBLICATIONS
ON q-ANALOGUES OF TARIG TRANSFORM LCJP Subhash Alha Palestine Journal of Mathematics 15 (1), 208–217 , 2026 2026
Innovative Approaches In Nonlinear Pedagogy For Biomathematics Education S Alha, S Choudhary, L Chanchlani, P Manohar, AG Gawde, N Kishor, ... INTERNATIONAL JOURNAL OF ADVANCES IN SIGNAL AND IMAGE SCIENCES, 1102-1112 , 2026 2026
A TARIG ITERATIVE TRANSFORM METHOD FOR SOLVING NON-LINEAR FRACTIONAL PARTIAL DIFFERENTIAL EQUATION PM Lata Chanchlani, Manisha European Journal of Mathematics and Statistics , 2026 2026
The Discrete Fractional Taylor’s Formula MPM Lata Chanchlani Submitted for publication , 2026 2026
Solution of Caputo Generalized Bagley–Torvik Equation Using the Tarig Transform L Chanchlani, Manisha, DL Suthar, SD Purohit Journal of Applied Mathematics 2026 (1), 6295182 , 2026 2026
Fractional lotka–volterra equations by fractional reduced differential transform method P Manohar, L Chanchlani, V Kumar, SD Purohit, DL Suthar Partial Differential Equations in Applied Mathematics 11, 100816 , 2024 2024 Citations: 5
ANALYTICAL SOLUTION OF THE SPACE-TIME FRACTIONAL TELEGRAPH EQUATION INVOLVING MODIFIED RIEMANN-LIOUVILLE FRACTIONAL DERIVATIVE LCMKG Pratibha Manohar, Ajay Sharma KSV E-Journal of Engineering, Management, Science and Humanities 1 (1) , 2024 2024
Solution of Fractional Differential Equations Involving Hilfer-Hadamard Fractional Derivatives L Chanchlani, P Manohar, A Sharma, S Choudhary Indian Journal of Science and Technology 17 (16), 1702-1712 , 2024 2024
q-ANALOGUE OF HILFER-KATUGAMPOLA FRACTIONAL DERIVATIVES AND APPLICATIONS. IA Mallah, L Chanchlani, S Alha South East Asian Journal of Mathematics and Mathematical Sciences 19 (2), 77-96 , 2023 2023
Applications of Elzaki decomposition method to fractional relaxation-oscillation and fractional biological population equations SDPDLS Lata Chanchlani,Mohini Agrawal,Rupakshi Mishra Pandey Applied Mathematics in Science and Engineering 31 (1) , 2023 2023 Citations: 6
Fractional Relaxation-oscillation Model with Elzaki Decomposition Method L Chanchlani AIJR Abstracts, 54 , 2022 2022
ON KATUGAMPOLA FRACTIONAL q-INTEGRAL AND q-DERIVATIVE IAM Lata Chanchlani, Subhash Alha Jnanabha 52 (1), 101-112 , 2022 2022 Citations: 2
Solutions of Cauchy Problems with Caputo-Hadamard Fractional Derivatives Pratibha Manohar, Lata Chanchlani, Ishfaq Ahmad Mallah Journal of Rajasthan Academy of Physical Sciences 20 (03 & 04) , 2021 2021 Citations: 2
Generalization of Taylor’s formula and differential transform method for composite fractional q -derivative L Chanchlani, S Alha, J Gupta The Ramanujan Journal 48 (1), 21-32 , 2019 2019 Citations: 13
On generalized composite fractional q-derivative M Garg, S Alha, L Chanchlani Le Matematiche 70 (2), 123-134 , 2015 2015 Citations: 1
q-ANALOGUES OF SAIGO FRACTIONAL INTEGRALS AND DERIVATIVES OF GENERALIZED BASIC HYPERGEOMETRIC SERIES M Garg, L Chanchlani, S Alha Palestine Journal of Mathematics 4 (1), 144-155 , 2015 2015 Citations: 2
On two-dimensional-differential transform method M Garg, L Chanchlani Afrika Matematika 25 (3), 529-538 , 2014 2014 Citations: 5
On generalized composite fractional derivative G Mridula, P MANOHAR, L CHANCHALANI, A Subhash Walailak Journal of Science and Technology (WJST) 11 (12), 1069-1076 , 2014 2014 Citations: 11
Solution of nonlinear q-schrخdinger equation by two dimensional q-differential transform method M Garg, L Chanchlani Kuwait Journal of Science 40 (2) , 2013 2013 Citations: 5
Some inequalities for product of ratio of q-gamma functions SA Mridula Garg, Lata Chanchlani Journal of Rajasthan Academy of Physical Sciences 12 (1), 55-62 , 2013 2013
MOST CITED SCHOLAR PUBLICATIONS
q-analogues of Saigo’s fractional calculus operators M Garg, L Chanchlani Bull. Math. Anal. Appl 3 (4), 169-179 , 2011 2011 Citations: 28
Kober fractional q-derivative operators M Garg, L Chanchlani Le Matematiche 66 (1), 13-26 , 2011 2011 Citations: 20
Generalization of Taylor’s formula and differential transform method for composite fractional q -derivative L Chanchlani, S Alha, J Gupta The Ramanujan Journal 48 (1), 21-32 , 2019 2019 Citations: 13
On generalized composite fractional derivative G Mridula, P MANOHAR, L CHANCHALANI, A Subhash Walailak Journal of Science and Technology (WJST) 11 (12), 1069-1076 , 2014 2014 Citations: 11
On fractional q-kinetic equation M Garg, L Chanchlani Mat Bilt 36, 33-46 , 2012 2012 Citations: 11
A q-analogue of generalized Mittag-Leffler function SK Mridula Garg, Lata Chanchlani Algebras Groups and Geometries 28 (2), 205-223 , 2011 2011 Citations: 8
Applications of Elzaki decomposition method to fractional relaxation-oscillation and fractional biological population equations SDPDLS Lata Chanchlani,Mohini Agrawal,Rupakshi Mishra Pandey Applied Mathematics in Science and Engineering 31 (1) , 2023 2023 Citations: 6
Fractional lotka–volterra equations by fractional reduced differential transform method P Manohar, L Chanchlani, V Kumar, SD Purohit, DL Suthar Partial Differential Equations in Applied Mathematics 11, 100816 , 2024 2024 Citations: 5
On two-dimensional-differential transform method M Garg, L Chanchlani Afrika Matematika 25 (3), 529-538 , 2014 2014 Citations: 5
Solution of nonlinear q-schrخdinger equation by two dimensional q-differential transform method M Garg, L Chanchlani Kuwait Journal of Science 40 (2) , 2013 2013 Citations: 5
On generalized q-differential transform SA Mridula Garg, Lata Chanchlani Aryabhatta Journal of Mathematics & Informatics 5 (2), 265-274 , 2013 2013 Citations: 5
ON KATUGAMPOLA FRACTIONAL q-INTEGRAL AND q-DERIVATIVE IAM Lata Chanchlani, Subhash Alha Jnanabha 52 (1), 101-112 , 2022 2022 Citations: 2
Solutions of Cauchy Problems with Caputo-Hadamard Fractional Derivatives Pratibha Manohar, Lata Chanchlani, Ishfaq Ahmad Mallah Journal of Rajasthan Academy of Physical Sciences 20 (03 & 04) , 2021 2021 Citations: 2
q-ANALOGUES OF SAIGO FRACTIONAL INTEGRALS AND DERIVATIVES OF GENERALIZED BASIC HYPERGEOMETRIC SERIES M Garg, L Chanchlani, S Alha Palestine Journal of Mathematics 4 (1), 144-155 , 2015 2015 Citations: 2
On generalized composite fractional q-derivative M Garg, S Alha, L Chanchlani Le Matematiche 70 (2), 123-134 , 2015 2015 Citations: 1
ON q-ANALOGUES OF TARIG TRANSFORM LCJP Subhash Alha Palestine Journal of Mathematics 15 (1), 208–217 , 2026 2026
Innovative Approaches In Nonlinear Pedagogy For Biomathematics Education S Alha, S Choudhary, L Chanchlani, P Manohar, AG Gawde, N Kishor, ... INTERNATIONAL JOURNAL OF ADVANCES IN SIGNAL AND IMAGE SCIENCES, 1102-1112 , 2026 2026
A TARIG ITERATIVE TRANSFORM METHOD FOR SOLVING NON-LINEAR FRACTIONAL PARTIAL DIFFERENTIAL EQUATION PM Lata Chanchlani, Manisha European Journal of Mathematics and Statistics , 2026 2026
The Discrete Fractional Taylor’s Formula MPM Lata Chanchlani Submitted for publication , 2026 2026
Solution of Caputo Generalized Bagley–Torvik Equation Using the Tarig Transform L Chanchlani, Manisha, DL Suthar, SD Purohit Journal of Applied Mathematics 2026 (1), 6295182 , 2026 2026
