Nonlinear Fractional q-Difference Equation with Fractional Hadamard and Quantum Integral Nonlocal Conditions

In this paper, we establish existence and uniqueness results for a boundary value problem consisting by a nonlinear fractional q-difference equation subject to a new type of boundary condition, combining the fractional Hadamard and quantum integrals. Our analysis is based on Banach’s fixed point the...

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Bibliographic Details
Published inJournal of function spaces Vol. 2020; no. 2020; pp. 1 - 10
Main Authors Tariboon, Jessada, Ntouyas, Sotiris K., Thatsatian, Arisa, Wongcharoen, Athasit
Format Journal Article
LanguageEnglish
Published Cairo, Egypt Hindawi Publishing Corporation 05.10.2020
Hindawi
John Wiley & Sons, Inc
Wiley
Subjects
Analysis
Boundary conditions
Boundary value problems
Calculus
Difference equations
Differential equations
Fixed points (mathematics)
Integrals
Theorems
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Summary:In this paper, we establish existence and uniqueness results for a boundary value problem consisting by a nonlinear fractional q-difference equation subject to a new type of boundary condition, combining the fractional Hadamard and quantum integrals. Our analysis is based on Banach’s fixed point theorem, a fixed point theorem for nonlinear contractions, Krasnosel’ski i˘’s fixed point theorem, and Leray-Schauder nonlinear alternative. Examples are given to illustrate our results.
Bibliography:ObjectType-Article-1
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ISSN:2314-8896
2314-8888
DOI:10.1155/2020/9831752