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Research Article | Open Access

To investigate a class of multi-singular pointwise defined fractional q–integro-differential equation with applications

Mohammad Esmael Samei1, Lotfollah Karimi2, Mohammed K. A. Kaabar3,4( )
Department of Mathematics, Faculty of Basic Science, Bu-Ali Sina University, Hamedan, Iran
Department of Mathematics, Hamedan University of Technology, Hamedan, Iran
Jabalia Camp, United Nations Relief and Works Agency (UNRWA), Palestinian Refugee Camp, Gaza Strip Jabalya, Palestine
Institute of Mathematical Sciences, Faculty of Science, University of Malaya, Kuala Lumpur 50603, Malaysia
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Abstract

In the research work, we discuss a multi-singular pointwise defined fractional q–integro-differential equation under some boundary conditions via the Riemann-Liouville q–integral and Caputo fractional q–derivatives. New existence results rely on the α-admissible map and fixed point theorem for α- ψ -contraction map. At the end, we present an example with application and some algorithms to illustrate the primary effects.

Keywords

singularitypointwise defined equationsintegral boundary conditionsCaputo q–derivation
CLC number: 34A08, 34B16, 39A13

References

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AIMS Mathematics
Volume 7 Issue 5,
May 2022
Pages 7781-7816
DOI: 10.3934/math.2022437

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Cite this article:
Samei ME, Karimi L, Kaabar MKA. To investigate a class of multi-singular pointwise defined fractional q–integro-differential equation with applications. AIMS Mathematics, 2022, 7(5): 7781-7816. https://doi.org/10.3934/math.2022437

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Received: 06 November 2021
Revised: 03 February 2022
Accepted: 14 February 2022
Published: 15 May 2022
©2022 the Author(s), licensee AIMS Press.

This is an open access article distributed under the terms of the Creative Commons Attribution License (https://creativecommons.org/licenses/by/4.0)