Existence of solutions for a singular fractional q-differential equations under Riemann-Liouville integral boundary condition

Authors

Mohammad Esmael Samei
Rezvan Ghaffari
Shao-Wen Yao
Mohammed K. A. Kaabar
Francisco Martinez
Mustafa Inc

Document Type

Article

Publication Date

7-1-2021

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.

Keywords

Caputo q-derivative, Singular sum fractional q-differential, Fixed point, Equations, Riemann-Liouville q-integral

Divisions

MathematicalSciences

Funders

Bu-Ali Sina University

Publication Title

Symmetry

Volume

13

Issue

7

Publisher

MDPI

Publisher Location

ST ALBAN-ANLAGE 66, CH-4052 BASEL, SWITZERLAND