Condensing Functions and Approximate Endpoint Criterion for the Existence Analysis of Quantum Integro-Difference FBVPs

A nonlinear quantum boundary value problem (q-FBVP) formulated in the sense of quantum Caputo derivative, with fractional q-integro-difference conditions along with its fractional quantum-difference inclusion q-BVP are investigated in this research. To prove the solutions’ existence for these quantu...

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Bibliographic Details
Published in:	Symmetry (Basel) Vol. 13; no. 3; p. 469
Main Authors:	Rezapour, Shahram, Imran, Atika, Hussain, Azhar, Martínez, Francisco, Etemad, Sina, Kaabar, Mohammed K. A.
Format:	Journal Article
Language:	English
Published:	MDPI AG 01-03-2021
Subjects:	approximate endpoint criterion condensing function existence quantum integro-difference BVP
Online Access:	Get full text
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Summary:	A nonlinear quantum boundary value problem (q-FBVP) formulated in the sense of quantum Caputo derivative, with fractional q-integro-difference conditions along with its fractional quantum-difference inclusion q-BVP are investigated in this research. To prove the solutions’ existence for these quantum systems, we rely on the notions such as the condensing functions and approximate endpoint criterion (AEPC). Two numerical examples are provided to apply and validate our main results in this research work.
ISSN:	2073-8994 2073-8994
DOI:	10.3390/sym13030469