Qualitative Analysis of Integro-Differential EquationInvolving a Generalized Caputo Fractional Operator

Authors

  • Sombir Dhaniya Central University of Punjab
  • Hadeel Bin Amer
  • Anoop Kumar Department of Mathematics and Statistics, Central University of Punjab, Bathinda, Punjab-151401, India
  • Aziz Khan Prince Sultan University
  • Khaled Naseralla Prince Sultan University https://orcid.org/0009-0007-8819-8697
  • Thabet Abdeljawad Prince Sultan University

DOI:

https://doi.org/10.29020/nybg.ejpam.v19i2.7321

Keywords:

Integro-di erential equation, Fixed point technique, Existence and uniqueness of solutions, Stability result, Generalized fractional derivative

Abstract

In this study, we investigated the existence and uniqueness of solutions for integro-fractional differential equations with a generalized Caputo operator involving boundary conditions. Utilizing the fixed-point technique, we examined the existence of a solution, and the Banach
contraction technique was employed to determine the uniqueness of the solutions. Moreover, the stability conditions of the Ulam-Hyers are discussed. Subsequently, a suitable application is given to illustrate the validity of this work. The findings presented in this study serve to expand and generalize the existing body of knowledge about nonlocal and classical fractional differential equations.

References

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Published

2026-07-28

Issue

Vol. 19 No. 2: (April 2026)

Section

Differential Equations

License

Copyright (c) 2026 Sombir Dhaniya, Hadeel Bin Amer, Anoop Kumar, Aziz Khan, Khaled Naseralla, Thabet Abdeljawad

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How to Cite

Qualitative Analysis of Integro-Differential EquationInvolving a Generalized Caputo Fractional Operator. (2026). European Journal of Pure and Applied Mathematics, 19(2), 7321. https://doi.org/10.29020/nybg.ejpam.v19i2.7321