Samei, Mohammad Esmael and Ghaffari, Rezvan and Yao, Shao-Wen and Kaabar, Mohammed K. A. and Martinez, Francisco and Inc, Mustafa
(2021)
*Existence of solutions for a singular fractional q-differential equations under Riemann-Liouville integral boundary condition.*
Symmetry, 13 (7).
ISSN 2073-8994,
DOI https://doi.org/10.3390/sym13071235.

## Abstract

We investigate the existence of solutions for a system of m-singular sum fractional q-differential equations in this work under some integral boundary conditions in the sense of Caputo fractional q-derivatives. By means of a fixed point Arzela-Ascoli theorem, the existence of positive solutions is obtained. By providing examples involving graphs, tables, and algorithms, our fundamental result about the endpoint is illustrated with some given computational results. In general, symmetry and q-difference equations have a common correlation between each other. In Lie algebra, q-deformations can be constructed with the help of the symmetry concept.

Item Type: | Article |
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Funders: | Bu-Ali Sina University |

Uncontrolled Keywords: | Caputo q-derivative; Singular sum fractional q-differential; Fixed point; Equations; Riemann-Liouville q-integral |

Subjects: | Q Science > QA Mathematics |

Divisions: | Faculty of Science > Institute of Mathematical Sciences |

Depositing User: | Ms Zaharah Ramly |

Date Deposited: | 12 Apr 2022 23:59 |

Last Modified: | 12 Apr 2022 23:59 |

URI: | http://eprints.um.edu.my/id/eprint/28308 |

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