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

Samei, Mohammad Esmael and Karimi, Lotfollah and Kaabar, Mohammed K. A. (2022) To investigate a class of multi-singular pointwise defined fractional q-integro-differential equation with applications. Aims Mathematics, 7 (5). pp. 7781-7816. ISSN 2473-6988, DOI https://doi.org/10.3934/math.2022437.

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Abstract

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

Item Type: Article
Funders: Bu-Ali Sina University
Uncontrolled Keywords: Singularity; Pointwise defined equations; Integral boundary conditions; Caputo q-derivation
Subjects: Q Science > QA Mathematics
Divisions: Faculty of Science > Institute of Mathematical Sciences
Depositing User: Ms. Juhaida Abd Rahim
Date Deposited: 29 Jul 2022 00:44
Last Modified: 29 Jul 2022 00:44
URI: http://eprints.um.edu.my/id/eprint/33594

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