Fixed point and endpoint theories for two hybrid fractional differential inclusions with operators depending on an increasing function
type: Item
instance of: scholarly article
title: Fixed point and endpoint theories for two hybrid fractional differential inclusions with operators depending on an increasing function
zbMATH Open document ID: 1484.34039
DOI: 10.1155/2021/4512223
author: Muhammad Iqbal
author: Sh. Rezapour
author: Azhar Hussain
author: Akbar Zada
author: Sina Etemad
published in: Journal of Function Spaces
publication date: 2021-12-16T00:00:00Z
review text: Summary: The main concentration of the present research is to explore several theoretical criteria for proving the existence results for the suggested boundary problem. In fact, for the first time, we formulate a new hybrid fractional differential inclusion in the \(\varphi\)-Caputo settings depending on an increasing function \(\varphi\) subject to separated mixed \(\varphi\)-hybrid-integro-derivative boundary conditions. In addition to this, we discuss a special case of the proposed \(\varphi\)-inclusion problem in the non-\(\varphi\)-hybrid structure with the help of the endpoint notion. To confirm the consistency of our findings, two specific numerical examples are provided which simulate both \(\varphi\)-hybrid and non-\( \varphi\)-hybrid cases.
Mathematics Subject Classification ID: 34A08
Mathematics Subject Classification ID: 34A60
Mathematics Subject Classification ID: 34B10
Mathematics Subject Classification ID: 34A38
zbMATH DE Number: 7446728
zbMATH Keywords: hybrid fractional differential inclusion
zbMATH Keywords: endpoint notion
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.1155/2021/4512223
OpenAlex ID: W3197617041
cites work: Solvability of Langevin equations with two Hadamard fractional derivatives via Mittag–Leffler functions
cites work: New extensions of the Hermite-Hadamard inequalities involving Riemann-Liouville fractional integrals
cites work: Estimates for fractional integral operators and linear commutators on certain weighted amalgam spaces
cites work: A hybrid Caputo fractional modeling for thermostat with hybrid boundary value conditions
cites work: On a Caputo conformable inclusion problem with mixed Riemann-Liouville conformable integro-derivative conditions
cites work: On solvability of nonlinear fractional differential systems involving nonlocal initial conditions
cites work: On a hybrid fractional Caputo-Hadamard boundary value problem with hybrid Hadamard integral boundary value conditions
cites work: Riemann zeta fractional derivative-functional equation and link with primes
cites work: Fractional derivatives in complex planes
cites work: Fractional calculus, zeta functions and Shannon entropy
cites work: A Caputo fractional derivative of a function with respect to another function
cites work: Positive solutions for generalized Caputo fractional differential equations with integral boundary conditions
cites work: Fractional differential equations with a Caputo derivative with respect to a Kernel function and their applications
cites work: Lyapunov-type inequalities for an anti-periodic fractional boundary value problem involving \(\psi\)-Caputo fractional derivative
cites work: Stability of \(\psi\)-Hilfer impulsive fractional differential equations
cites work: On a new structure of the pantograph inclusion problem in the Caputo conformable setting
cites work: Theory and analysis of partial differential equations with a \(\psi \)-Caputo fractional derivative
cites work: Q4233638
cites work: Q3141895
cites work: Q5699297
cites work: Leibniz Rule for Fractional Derivatives Generalized and an Application to Infinite Series
cites work: Q4000472
cites work: Q3324260
cites work: Endpoints of set-valued contractions in metric spaces
cites work: Q5529751
cites work: Existence results for neutral functional differential inclusions in Banach algebras
Recommended article: Hybrid fixed point theorems with application to fractional evolution equations
Recommended article: Some existence results for fractional differential inclusions via fixed point theorems
Recommended article: A study of mixed Hadamard and Riemann-Liouville fractional integro-differential inclusions via endpoint theory
Recommended article: A coupled fixed point theorem and application to fractional hybrid differential problems
Recommended article: Fixed point theorems of increasing operators and applications to nonlinear integro-differential equations with discontinuous terms
Recommended article: Fixed point theorems for mixed monotone operators with perturbation and applications to fractional differential equation boundary value problems
Recommended article: Hybrid fixed point theory in partially ordered normed linear spaces and applications to fractional integral equations
Recommended article: Fixed point theorems of discontinuous increasing operators and applications to nonlinear integro-differential equations
Recommended article: Fixed point theorems for a class of nonlinear sum-type operators and application in a fractional differential equation
Recommended article: Fixed-point theorems for systems of operator equations and their applications to the fractional differential equations
description: scientific article; zbMATH DE number 7446728