Differential Transform Method for Solving Volterra q-Integral Equations

Authors

Altaf A. Bhat Department of General Requirements, University of Technology and Applied Sciences, Salalah, Oman
Haider Abbas Rizvi Department of Mathematics and Sciences, College of Arts and Applied Sciences, Dhofar University, Salalah, Oman
Javid A. Ganie PG Department of Mathematics, Govt. Degree College for Boys Baramulla, Baramulla, India
Faiza A. Sulaiman Department of General Requirements, University of Technology and Applied Sciences, Salalah, Oman
D. K. Jain Department of Engineering Mathematics & Computing, Madhav Institute of Technology and Science, Gwalior, India

DOI:

https://doi.org/10.37256/cm.4420232549

Keywords:

q-differential transform method, Volterra q-integral equations, integral transforms, q-calculus

Abstract

In this paper, Volterra q-integral equations are solved by using the method of q-differential transformation. Exact solutions of linear and nonlinear q-integral equations have been investigated. To illustrate the method, several problems are discussed for the effectiveness and performance of the proposed method.

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Published

2023-12-12

Issue

Contemporary Mathematics, Volume 4 Issue 4 (2023), 620-1346

Section

Research Article

License

This work is licensed under a Creative Commons Attribution 4.0 International License.