On Analysis of Single Solution for a Class of BVP with Generalized Caputo-Katugampola Fractional Derivative

Authors

  • Nabil Mlaiki Department of Mathematics and General Sciences, Prince Sultan University, Riyadh, Saudi Arabia
  • Zouaoui Bekri Laboratory of fundamental and applied mathematics, University of Oran 1, Ahmed Ben Bella, Es-senia, 31000 Oran, Algeria
  • Vedat Suat Erturk Department of Mathematics, Faculty of Arts and Sciences, Ondokuz Mayis University, 55200 Atakum, Samsun, Turkey
  • Mohammad Esmael Samei Department of Mathematics, Faculty of Science, Bu-Ali Sina University, Hamedan, Iran
  • Salma Haque Department of Mathematics and Sciences, Prince Sultan University, Riyadh 11586, Saudi Arabia

DOI:

https://doi.org/10.29020/nybg.ejpam.v18i2.6138

Keywords:

Banach contraction theorem, generalized Caputo fractional derivative, BVP, Uniqueness and existence, Caputo-Katugampola fractional derivative

Abstract

In this paper, we endeavor to simulate the existence of a single solution for a BVP for Caputo-Katugampola fractional derivative in the manner theorem of contraction of Banach. We extrapolate similar examples to interpret the conclusions reached.

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Published

2025-05-01

Issue

Vol. 18 No. 2: (April 2025)

Section

Differential Equations

License

Copyright (c) 2025 Nabil Mlaiki, Zouaoui Bekri, Vedat Suat Erturk, Mohammad Esmael Samei, Salma Haque

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How to Cite

On Analysis of Single Solution for a Class of BVP with Generalized Caputo-Katugampola Fractional Derivative. (2025). European Journal of Pure and Applied Mathematics, 18(2), 6138. https://doi.org/10.29020/nybg.ejpam.v18i2.6138