Existence results for \(\psi\)-Hilfer fractional integro-differential hybrid boundary value problems for differential equations and inclusions
type: Item
instance of: scholarly article
title: Existence results for \(\psi\)-Hilfer fractional integro-differential hybrid boundary value problems for differential equations and inclusions
zbMATH Open document ID: 1478.45006
DOI: 10.1155/2021/9044313
author: Chanakarn Kiataramkul
author: Sotiris K. Ntouyas
author: Jessada Tariboon
published in: Advances in Mathematical Physics
publication date: 2021-11-25T00:00:00Z
review text: Summary: In this research work, we study a new class of \(\psi\)-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.
Mathematics Subject Classification ID: 45J05
Mathematics Subject Classification ID: 45P05
Mathematics Subject Classification ID: 47G10
Mathematics Subject Classification ID: 34A08
Mathematics Subject Classification ID: 26A33
zbMATH DE Number: 7433518
zbMATH Keywords: fractional integro-differential boundary value problems
zbMATH Keywords: multivalued operators
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.1155/2021/9044313
OpenAlex ID: W3200135345
cites work: The analysis of fractional differential equations. An application-oriented exposition using differential operators of Caputo type
cites work: Q5699297
cites work: Q3408155
cites work: Q3141902
cites work: Q4233638
cites work: Q3141895
cites work: Basic Theory of Fractional Differential Equations
cites work: Hadamard-Type Fractional Differential Equations, Inclusions and Inequalities
cites work: Fractional-order differential equations with anti-periodic boundary conditions: a survey
cites work: New existence results for nonlinear fractional differential equations with three-point integral boundary conditions
cites work: Q3165051
cites work: Existence and multiplicity of positive solutions for singular fractional boundary value problems
cites work: Boundary value problems for Riemann-Liouville fractional differential inclusions with nonlocal Hadamard fractional integral conditions
cites work: Theory of fractional hybrid differential equations
cites work: The existence of solutions for boundary value problem of fractional hybrid differential equations
cites work: An existence theorem for fractional hybrid differential inclusions of Hadamard type with Dirichlet boundary conditions
cites work: Existence results for boundary value problems for fractional hybrid differential inclusions
cites work: Basic results on hybrid differential equations
cites work: A nonlocal hybrid boundary value problem of Caputo fractional integro-differential equations
cites work: Q4818700
cites work: Existence results for hybrid fractional integro-differential equations
cites work: Existence theory to a class of boundary value problems of hybrid fractional sequential integro-differential equations
cites work: The generalized U-H and U-H stability and existence analysis of a coupled hybrid system of integro-differential IVPs involving \(\phi\)-Caputo fractional operators
cites work: On the new fractional hybrid boundary value problems with three-point integral hybrid conditions
cites work: Applications of fractional calculus in physics
cites work: Random differential equations in science and engineering
cites work: Results on the existence of Hilfer fractional neutral evolution equations with infinite delay via measures of noncompactness
cites work: Q5144265
cites work: On the \(\psi\)-Hilfer fractional derivative
cites work: Existence and stability results for \(\psi\)-Hilfer fractional integro-differential equation with mixed nonlocal boundary conditions
cites work: Q5021095
cites work: Existence theory of fractional coupled differential equations via \(\Psi\)-Hilfer fractional derivative
cites work: Existence results for neutral functional differential inclusions in Banach algebras
cites work: Q4000472
cites work: Q4367585
cites work: Introduction to the theory of differential inclusions
cites work: Q5529751
Recommended article: Q5144265
Recommended article: Existence and stability results for \(\psi\)-Hilfer fractional integro-differential equation with mixed nonlocal boundary conditions
Recommended article: Existence and Stability Results for Boundary Value Problem for Diﬀerential Equation with ψ -Hilfer Fractional Derivative
Recommended article: Existence of solutions for fractional differential equations with Ψ-Hilfer fractional derivative with nonlocal integral boundary conditions
Recommended article: Existence results for boundary value problems for fractional hybrid differential inclusions
Recommended article: Existence results of \(\psi\)-Hilfer integro-differential equations with fractional order in Banach space
Recommended article: Existence and attractivity results for &#1137;-Hilfer hybrid fractional differential equations
Recommended article: Existence results for hybrid fractional integro-differential equations
Recommended article: Existence results for hybrid fractional differential equations with Hilfer fractional derivative
Recommended article: The existence and Ulam-Hyers stability results for \(\psi\)-Hilfer fractional integrodifferential equations
description: scientific article; zbMATH DE number 7433518