Applications of new contraction mappings on existence and uniqueness results for implicit \(\phi\)-Hilfer fractional pantograph differential equations
type: Item
instance of: scholarly article
title: Applications of new contraction mappings on existence and uniqueness results for implicit \(\phi\)-Hilfer fractional pantograph differential equations
zbMATH Open document ID: 1504.34005
author: Hojjat Afshari
author: H. R. Marasi
author: J. O. Alzabut
published in: Journal of Inequalities and Applications
publication date: 2022-01-26T00:00:00Z
Mathematics Subject Classification ID: 34A08
Mathematics Subject Classification ID: 26A33
Mathematics Subject Classification ID: 54H25
Mathematics Subject Classification ID: 54E40
Mathematics Subject Classification ID: 45J05
zbMATH DE Number: 7465166
zbMATH Keywords: \(\alpha-\psi\)-contraction mapping
zbMATH Keywords: \(\phi\)-Hilfer fractional derivative
zbMATH Keywords: fractional differential equation
zbMATH Keywords: pantograph differential equation
MaRDI profile type: Publication
full work available at URL: s13660-021-02711-x
OpenAlex ID: W3211727890
Wikidata QID: Q115241540
cites work: Recent applications of fractional calculus to science and engineering
cites work: Q5699297
cites work: Applications of fractional calculus in physics
cites work: Q3656159
cites work: A Caputo fractional derivative of a function with respect to another function
cites work: Fractional differential equations with a Caputo derivative with respect to a Kernel function and their applications
cites work: On the \(\psi\)-Hilfer fractional derivative
cites work: Further results on existence of positive solutions of generalized fractional boundary value problems
cites work: Fractional boundary value problem with \(\psi\)-Caputo fractional derivative
cites work: Existence and Ulam stability results of a coupled system for terminal value problems involving \(\psi\)-Hilfer fractional operator
cites work: Leibniz type rule: \(\psi\)-Hilfer fractional operator
cites work: A Gronwall inequality and the Cauchy-type problem by means of ψ-Hilfer operator
cites work: Q4994257
cites work: On the existence of positive solutions for generalized fractional boundary value problems
cites work: On the theory of fractional terminal value problem with \(\psi\)-Hilfer fractional derivative
cites work: Ulam-Hyers-Mittag-Leffler stability for \(\psi\)-Hilfer fractional-order delay differential equations
cites work: Nonlocal boundary value problems for integro-differential Langevin equation via the generalized Caputo proportional fractional derivative
cites work: A study on fractional differential equations using the fractional Fourier transform
cites work: Fractional Fourier transform and stability of fractional differential equation on Lizorkin space
cites work: Multiple periodic solutions in shifts \(\delta_{\pm}\) for an impulsive functional dynamic equation on time scales
cites work: Solution of fractional differential equations in quasi-\(b\)-metric and \(b\)-metric-like spaces
cites work: Applications of some fixed point theorems for fractional differential equations with Mittag-Leffler kernel
cites work: Solution of fractional differential equations via \(\alpha-\psi\)-Geraghty type mappings
cites work: Application of some new contractions for existence and uniqueness of differential equations involving Caputo-Fabrizio derivative
cites work: A discussion on "α-ψ-Geraghty contraction type mappings"
cites work: Generalized \(\alpha\)-\(\psi\) contractive type mappings and related fixed point theorems with applications
cites work: Fixed points of mixed monotone operators for existence and uniqueness of nonlinear fractional differential equations
cites work: Some existence and uniqueness results for nonlinear fractional partial differential equations
cites work: Fixed point theorems for \(\alpha\)-\(\psi\)-contractive type mappings
cites work: On some properties of positive solutions for a third-order three-point boundary value problem with a parameter
cites work: The pantograph equation in the complex plane
cites work: Existence of solutions of nonlinear fractional pantograph equations
cites work: Q4562749
cites work: Q3645606
cites work: Solutions for impulsive fractional pantograph differential equation via generalized anti-periodic boundary condition
DOI: 10.1186/S13660-021-02711-X
description: scientific article; zbMATH DE number 7465166