Existence of solutions for fractional differential inclusions with integral boundary conditions

DOI10.1186/s13661-015-0356-yzbMath1341.34021OpenAlexW1917129599WikidataQ59431219 ScholiaQ59431219MaRDI QIDQ283390

Jessada Tariboon, Sina Etemad, Sotiris K. Ntouyas

Publication date: 13 May 2016

Published in: Boundary Value Problems (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1186/s13661-015-0356-y

zbMATH Keywords

existenceboundary value problemfixed point theoremfractional differential inclusion

Mathematics Subject Classification ID

Nonlinear boundary value problems for ordinary differential equations (34B15) Ordinary differential inclusions (34A60) Applications of operator theory to differential and integral equations (47N20) Nonlocal and multipoint boundary value problems for ordinary differential equations (34B10) Fractional ordinary differential equations (34A08)

Related Items (12)

A fractional differential equation with multi-point strip boundary condition involving the Caputo fractional derivative and its Hyers-Ulam stability ⋮ Boundary value problems with four orders of Riemann-Liouville fractional derivatives ⋮ A novel fractional structure of a multi-order quantum multi-integro-differential problem ⋮ Solving partial fractional differential equations by using the Laguerre wavelet-Adomian method ⋮ Existence and optimal controls of non-autonomous for impulsive evolution equation without Lipschitz assumption ⋮ Cauchy problems for Hilfer fractional evolution equations on an infinite interval ⋮ Nonlinear sequential Riemann-Liouville and Caputo fractional differential equations with generalized fractional integral conditions ⋮ On perturbed fractional differential inclusions with nonlocal multi-point Erdélyi-Kober fractional integral boundary conditions ⋮ On the nonlocal Katugampola fractional integral conditions for fractional Langevin equation ⋮ Periodic boundary value problems for impulsive conformable fractional integro-differential equations ⋮ On nonlinear neutral Liouville-Caputo-type fractional differential equations with Riemann-Liouville integral boundary conditions ⋮ Unnamed Item

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Existence and uniqueness of solutions for multi-term nonlinear fractional integro-differential equations
• The existence of solutions for a nonlinear mixed problem of singular fractional differential equations
• Positive solutions of an initial value problem for nonlinear fractional differential equations
• Existence and multiplicity of positive solutions for singular fractional boundary value problems
• Existence theory for anti-periodic boundary value problems of fractional differential equations and inclusions
• On the solution of some simple fractional differential equations
• A survey on existence results for boundary value problems of nonlinear fractional differential equations and inclusions
• The analysis of fractional differential equations. An application-oriented exposition using differential operators of Caputo type
• A survey on semilinear differential equations and inclusions involving Riemann-Liouville fractional derivative
• Boundary value problem for a coupled system of nonlinear fractional differential equations
• The fractional calculus. Theory and applications of differentiation and integration to arbitrary order
• Convex analysis and measurable multifunctions
• Fractional differential equations. An introduction to fractional derivatives, fractional differential equations, to methods of their solution and some of their applications
• Existence of solutions for integro-differential equations of fractional order with nonlocal three-point fractional boundary conditions
• On a nonlinear fractional differential equation on partially ordered metric spaces
• The exact solution of certain differential equations of fractional order by using operational calculus
• Existence of solutions for fractional differential inclusions with separated boundary conditions in Banach space
• Existence of solutions for anti-periodic boundary value problems involving fractional differential equations via Leray-Schauder degree theory
• The existence of positive solutions for a new coupled system of multiterm singular fractional integrodifferential boundary value problems
• On fractional differential inclusions with anti-periodic type integral boundary conditions
• Some existence results for a nonlinear fractional differential equation on partially ordered Banach spaces
• Attractivity for a \(k\)-dimensional system of fractional functional differential equations and global attractivity for a \(k\)-dimensional system of nonlinear fractional differential equations
• On a fractional differential inclusion with integral boundary conditions in Banach space
• Some results for fractional boundary value problem of differential inclusions
• Multi-valued contraction mappings in generalized metric spaces
• Some existence results on nonlinear fractional differential equations

This page was built for publication: Existence of solutions for fractional differential inclusions with integral boundary conditions