Existence and Ulam-Hyers stability results for a class of fractional integro-differential equations involving nonlocal fractional integro-differential boundary conditions

DOI10.5269/BSPM.64571MaRDI QIDQ6596771

Faouzi Haddouchi

Publication date: 3 September 2024

Published in: Boletim da Sociedade Paranaense de Matemática. Terceira Série (Search for Journal in Brave)

zbMATH Keywords

existencenonlocal boundary conditionsfixed point theoremRiemann-Liouville fractional integralCaputo fractional derivativeUlam-Hyers stabilityfractional integro-differential equations

Mathematics Subject Classification ID

Nonlinear boundary value problems for ordinary differential equations (34B15) Fractional derivatives and integrals (26A33) Fractional ordinary differential equations (34A08)

Cites Work

• Title not available (Why is that?)
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• A new class of fractional boundary value problems
• Solvability of a fractional boundary value problem with fractional integral condition
• Boundary value problems for a new class of three-point nonlocal Riemann-Liouville integral boundary conditions
• Solvability of a three-point fractional nonlinear boundary value problem
• Fractional calculus in viscoelasticity: an experimental study
• On fractional filtering versus conventional filtering in economics
• Positive solutions for fractional differential equations with three-point multi-term fractional integral boundary conditions
• New comparison results for impulsive integro-differential equations and applications
• On a mixed nonlinear one point boundary value problem for an integrodifferential equation
• Theory of fractional functional differential equations
• The method of upper and lower solutions for second order differential inclusions with integral boundary conditions
• Existence of positive solutions of the boundary value problem for nonlinear fractional differential equations
• Analytic approximation of solutions of the forced Duffing equation with integral boundary conditions
• Existence of approximate solutions of the forced Duffing equation with discontinuous type integral boundary conditions
• New results for the periodic boundary value problem for impulsive integro-differential equations
• Existence and uniqueness of fractional functional differential equations with unbounded delay
• On impulsive hyperbolic differential inclusions with nonlocal initial conditions
• A singular boundary value problem for nonlinear differential equations of fractional order
• Fractional differential equations in electrochemistry
• Theorems about the existence and uniqueness of solutions of a semilinear evolution nonlocal Cauchy problem
• Fractional differential equations. An introduction to fractional derivatives, fractional differential equations, to methods of their solution and some of their applications
• Time-fractional telegraph equations and telegraph processes with Brownian time
• Existence and uniqueness of solutions for BVP of nonlinear fractional differential equation
• Existence of positive solutions of nonlinear fractional differential equations
• Positive solutions of nonlocal fractional boundary value problem involving Riemann-Stieltjes integral condition
• Positive solutions of \(p\)-Laplacian fractional differential equations with fractional derivative boundary condition
• Boundary value problems for fractional differential equations with three-point fractional integral boundary conditions
• Existence of nontrivial solutions for a nonlinear Sturm-Liouville problem with integral boundary conditions
• Caputo type fractional differential equations with nonlocal Riemann-Liouville integral boundary conditions
• Positive solutions for nonlinear Caputo fractional differential equations with integral boundary conditions
• Second-order boundary value problems with integral boundary conditions
• Positive solution to a higher order fractional boundary value problem with fractional integral condition
• Theorem about the existence and uniqueness of a solution of a nonlocal abstract cauchy problem in a banach space
• Positive solutions of a boundary value problem for a nonlinear fractional differential equation
• Triple positive solutions for a boundary value problem of nonlinear fractional differential equation
• On nonlinear fractional-order boundary value problems with nonlocal multi-point conditions involving Liouville-Caputo derivative
• Existence of positive solutions for a class of conformable fractional differential equations with integral boundary conditions and a parameter
• On the existence and uniqueness of solutions for fractional differential equations with nonlocal multi-point boundary conditions

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