Initial value problem for hybrid \(\psi\)-Hilfer fractional implicit differential equations
type: Item
instance of: scholarly article
title: Initial value problem for hybrid \(\psi\)-Hilfer fractional implicit differential equations
zbMATH Open document ID: 1493.34037
author: Abdelkrim Salim
author: Mouffak Benchohra
author: John R. Graef
author: Jamal E. Lazreg
published in: Journal of Fixed Point Theory and Applications
publication date: 2022-01-07T00:00:00Z
Mathematics Subject Classification ID: 34A09
Mathematics Subject Classification ID: 34A08
Mathematics Subject Classification ID: 34A38
Mathematics Subject Classification ID: 34A12
Mathematics Subject Classification ID: 47N20
zbMATH DE Number: 7453467
zbMATH Keywords: \(\psi\)-Hilfer fractional derivative
zbMATH Keywords: implicit differential equation
zbMATH Keywords: initial value problem
zbMATH Keywords: existence
zbMATH Keywords: uniqueness
zbMATH Keywords: hybrid fractional differential equations
zbMATH Keywords: fractional integral
zbMATH Keywords: fixed point
MaRDI profile type: Publication
full work available at URL: s11784-021-00920-x
OpenAlex ID: W4200264210
Wikidata QID: Q115377773
cites work: Implicit Fractional Differential and Integral Equations
cites work: Existence and Ulam stability for fractional differential equations of Hilfer-Hadamard type
cites work: Hilfer and Hadamard Functional Random Fractional Differential Inclusions
cites work: A survey on Hadamard and Hilfer fractional differential equations: Analysis and stability
cites work: Topics in fractional differential equations
cites work: Q5258489
cites work: Fractional Integro-Differential Equations Involving $\psi$-Hilfer Fractional Derivative
cites work: Hadamard-Type Fractional Differential Equations, Inclusions and Inequalities
cites work: Fractional differential inclusions with fractional separated boundary conditions
cites work: Initial-value problems for hybrid Hadamard fractional differential equations
cites work: New Trends in Nanotechnology and Fractional Calculus Applications
cites work: Solvability of fractional multi-point boundary value problems with nonlinear growth at resonance
cites work: Existence and Ulam stability for nonlinear implicit fractional differential equations with Hadamard derivative
cites work: On stability for nonlinear implicit fractional differential equations
cites work: Existence and uniqueness for ψ‐Hilfer fractional differential equation with nonlocal multi‐point condition
cites work: Fractional hybrid differential equations with three-point boundary hybrid conditions
cites work: On a fixed point theorem in Banach algebras with applications
cites work: Boundary value problems for hybrid differential equations with fractional order
cites work: Q5699297
cites work: A Gronwall inequality and the Cauchy-type problem by means of ψ-Hilfer operator
cites work: On the \(\psi\)-Hilfer fractional derivative
cites work: On the Ulam-Hyers-Rassias stability for nonlinear fractional differential equations using the \(\psi \)-Hilfer operator
cites work: Theory of fractional hybrid differential equations
DOI: 10.1007/S11784-021-00920-X
description: scientific article; zbMATH DE number 7453467