On nonlocal boundary value problems for nonlinear integro-differential equations of arbitrary fractional order
type: Item
instance of: scholarly article
title: On nonlocal boundary value problems for nonlinear integro-differential equations of arbitrary fractional order
zbMATH Open document ID: 1270.45004
author: Bashir Ahmad
published in: Results in Mathematics
publication date: 2013-02-08T00:00:00Z
review text: The author studies the existence of solutions of a nonlocal boundary value problem for nonlinear integro-differential equations of fractional order. The existence results are established by means of the contraction mapping principle and Krasnoselskii's fixed point theorem. An illustrative example is also presented.
reviewed by: A. M. A. El-Sayed
Mathematics Subject Classification ID: 45J05
Mathematics Subject Classification ID: 26A33
Mathematics Subject Classification ID: 45G10
zbMATH DE Number: 6135241
zbMATH Keywords: nonlinear fractional differential equations
zbMATH Keywords: nonlocal boundary conditions
zbMATH Keywords: nonlocal boundary value problem
zbMATH Keywords: nonlinear integro-differential equations of fractional order
zbMATH Keywords: contraction mapping principle
zbMATH Keywords: Krasnoselskii's fixed point theorem
MaRDI profile type: Publication
full work available at URL: s00025-011-0187-9
OpenAlex ID: W2088916095
cites work: Disconjugacy
cites work: Positive solutions to a second order three-point boundary value problem.
cites work: Positive solutions of a nonlinear \(n\)th order boundary value problem with nonlocal conditions
cites work: POSITIVE SOLUTIONS OF NONLOCAL BOUNDARY VALUE PROBLEMS: A UNIFIED APPROACH
cites work: NONLINEAR NON-LOCAL BOUNDARY-VALUE PROBLEMS AND PERTURBED HAMMERSTEIN INTEGRAL EQUATIONS
cites work: Nonlocal boundary value problem of higher order ordinary differential equations at resonance
cites work: Positive solutions of a third order nonlocal boundary value problem
cites work: Nonlocal conjugate type boundary value problems of higher order
cites work: Non-local boundary value problems of arbitrary order
cites work: Existence of solutions for nonlocal boundary value problems of higher-order nonlinear fractional differential equations
cites work: Q3141895
cites work: Fractional differential equations. An introduction to fractional derivatives, fractional differential equations, to methods of their solution and some of their applications
cites work: Applications of fractional calculus in physics
cites work: Q5699297
cites work: Boundary value problems for multi-term fractional differential equations
cites work: Mathematical modeling of time fractional reaction-diffusion systems
cites work: On the solution of the fractional nonlinear Schrödinger equation
cites work: Q3603935
cites work: A Cauchy problem for some fractional abstract differential equation with non local conditions
cites work: Q3633899
cites work: Existence results for nonlinear boundary value problems of fractional integrodifferential equations with integral boundary conditions
cites work: Q3408155
cites work: Existence results for a coupled system of nonlinear fractional differential equations with three-point boundary conditions
cites work: Q3639738
cites work: Existence results for nonlinear impulsive hybrid boundary value problems involving fractional differential equations
cites work: Existence of solutions for fractional differential inclusions with antiperiodic boundary conditions
cites work: Existence and uniqueness of mild solutions to impulsive fractional differential equations
cites work: Existence of solutions for anti-periodic boundary value problems involving fractional differential equations via Leray-Schauder degree theory
cites work: Existence of solutions for fractional differential equations of order \(q \in (2,3]\) with anti-periodic boundary conditions
cites work: On the concept of solution for fractional differential equations with uncertainty
cites work: Q3862642
DOI: 10.1007/S00025-011-0187-9
description: scientific article; zbMATH DE number 6135241