Existence Results for ψ-Hilfer Fractional Integro-Differential Hybrid Boundary Value Problems for Differential Equations and Inclusions

In this research work, we study a new class of ψ-Hilfer hybrid fractional integro-differential boundary value problems with nonlocal boundary conditions. Existence results are established for single and multivalued cases, by using suitable fixed-point theorems for the product of two single or multiv...

Full description

Saved in:
Bibliographic Details
Main Authors: Chanakarn Kiataramkul, Sotiris K. Ntouyas, Jessada Tariboon
Format: Article
Language:English
Published: Wiley 2021-01-01
Series:Advances in Mathematical Physics
Online Access:http://dx.doi.org/10.1155/2021/9044313
Tags: Add Tag
No Tags, Be the first to tag this record!
_version_ 1832561415359037440
author Chanakarn Kiataramkul
Sotiris K. Ntouyas
Jessada Tariboon
author_facet Chanakarn Kiataramkul
Sotiris K. Ntouyas
Jessada Tariboon
author_sort Chanakarn Kiataramkul
collection DOAJ
description In this research work, we study a new class of ψ-Hilfer hybrid fractional integro-differential boundary value problems with nonlocal boundary conditions. Existence results are established for single and multivalued cases, by using suitable fixed-point theorems for the product of two single or multivalued operators. Examples illustrating the main results are also constructed.
format Article
id doaj-art-32ae85e1f55e445da4b28138074d70b7
institution Kabale University
issn 1687-9120
1687-9139
language English
publishDate 2021-01-01
publisher Wiley
record_format Article
series Advances in Mathematical Physics
spelling doaj-art-32ae85e1f55e445da4b28138074d70b72025-02-03T01:24:59ZengWileyAdvances in Mathematical Physics1687-91201687-91392021-01-01202110.1155/2021/90443139044313Existence Results for ψ-Hilfer Fractional Integro-Differential Hybrid Boundary Value Problems for Differential Equations and InclusionsChanakarn Kiataramkul0Sotiris K. Ntouyas1Jessada Tariboon2Intelligent and Nonlinear Dynamic Innovations Research Center, Department of Mathematics, Faculty of Applied Science, King Mongkut’s University of Technology North Bangkok, Bangkok 10800, ThailandDepartment of Mathematics, University of Ioannina, 451 10 Ioannina, GreeceIntelligent and Nonlinear Dynamic Innovations Research Center, Department of Mathematics, Faculty of Applied Science, King Mongkut’s University of Technology North Bangkok, Bangkok 10800, ThailandIn this research work, we study a new class of ψ-Hilfer hybrid fractional integro-differential boundary value problems with nonlocal boundary conditions. Existence results are established for single and multivalued cases, by using suitable fixed-point theorems for the product of two single or multivalued operators. Examples illustrating the main results are also constructed.http://dx.doi.org/10.1155/2021/9044313
spellingShingle Chanakarn Kiataramkul
Sotiris K. Ntouyas
Jessada Tariboon
Existence Results for ψ-Hilfer Fractional Integro-Differential Hybrid Boundary Value Problems for Differential Equations and Inclusions
Advances in Mathematical Physics
title Existence Results for ψ-Hilfer Fractional Integro-Differential Hybrid Boundary Value Problems for Differential Equations and Inclusions
title_full Existence Results for ψ-Hilfer Fractional Integro-Differential Hybrid Boundary Value Problems for Differential Equations and Inclusions
title_fullStr Existence Results for ψ-Hilfer Fractional Integro-Differential Hybrid Boundary Value Problems for Differential Equations and Inclusions
title_full_unstemmed Existence Results for ψ-Hilfer Fractional Integro-Differential Hybrid Boundary Value Problems for Differential Equations and Inclusions
title_short Existence Results for ψ-Hilfer Fractional Integro-Differential Hybrid Boundary Value Problems for Differential Equations and Inclusions
title_sort existence results for ψ hilfer fractional integro differential hybrid boundary value problems for differential equations and inclusions
url http://dx.doi.org/10.1155/2021/9044313
work_keys_str_mv AT chanakarnkiataramkul existenceresultsforpshilferfractionalintegrodifferentialhybridboundaryvalueproblemsfordifferentialequationsandinclusions
AT sotiriskntouyas existenceresultsforpshilferfractionalintegrodifferentialhybridboundaryvalueproblemsfordifferentialequationsandinclusions
AT jessadatariboon existenceresultsforpshilferfractionalintegrodifferentialhybridboundaryvalueproblemsfordifferentialequationsandinclusions