Existence results of fractional integro-differential equations with \(m\)-point multi-term fractional order integral boundary conditions

DOI10.1186/1687-2770-2012-94zbMath1278.26014OpenAlexW2105907779WikidataQ59288373 ScholiaQ59288373MaRDI QIDQ384339

Weerawat Sudsutad, Jessada Tariboon

Publication date: 27 November 2013

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

Full work available at URL: https://doi.org/10.1186/1687-2770-2012-94

zbMATH Keywords

existenceRiemann-Liouville fractional integralCaputo fractional derivativeintegral boundary value problem

Mathematics Subject Classification ID

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

Related Items (22)

Multiple positive solutions to singular positone and semipositone \(m\)-point boundary value problems of nonlinear fractional differential equations ⋮ A nonlocal multi-point multi-term fractional boundary value problem with Riemann-Liouville type integral boundary conditions involving two indices ⋮ Unnamed Item ⋮ Existence of solutions for integro-differential equations of fractional order with nonlocal three-point fractional boundary conditions ⋮ A fractional multiterm Gronwall lemma and its application to the stability of fractional integrodifferential systems ⋮ Existence results for Langevin fractional differential inclusions involving two fractional orders with four-point multiterm fractional integral boundary conditions ⋮ Uniqueness of a nonlinear integro-differential equation with nonlocal boundary condition and variable coefficients ⋮ Unnamed Item ⋮ A study of nonlinear fractional differential equations of arbitrary order with Riemann-Liouville type multistrip boundary conditions ⋮ Existence results for fractional integral inclusions via nonlinear alternative for contractive maps ⋮ Existence results for certain multi-orders impulsive fractional boundary value problem ⋮ Nonlinear second-order impulsive \(q\)-difference Langevin equation with boundary conditions ⋮ Nonlocal Hadamard fractional integral conditions for nonlinear Riemann-Liouville fractional differential equations ⋮ Sensitivity of a fractional integrodifferential Cauchy problem of Volterra type ⋮ Existence theory for \(n\)th order nonlocal integral boundary value problems and extension to fractional case ⋮ Nonlinear fractional integro-differential Langevin equation involving two fractional orders with three-point multi-term fractional integral boundary conditions ⋮ Application of a global implicit function theorem to a general fractional integro-differential system of Volterra type ⋮ Existence of solutions for fractional \(q\)-integro-difference inclusions with fractional \(q\)-integral boundary conditions ⋮ Fractional integral problems for fractional differential equations via Caputo derivative ⋮ Positive solutions for a class of fractional boundary value problems with fractional boundary conditions ⋮ Nonlinear fractional differential equations with $m$-point integral boundary conditions ⋮ Boundary value problems for fractional differential equations with fractional multiterm integral conditions

Cites Work

• A study of nonlinear Langevin equation involving two fractional orders in different intervals
• Existence of solutions for fractional differential equations with multi-point boundary conditions
• Existence of solutions for multi point boundary value problems for fractional differential equations
• Positive solutions for a nonlocal fractional differential equation
• Existence theory for anti-periodic boundary value problems of fractional differential equations and inclusions
• Three nonnegative solutions for fractional differential equations with integral boundary conditions
• Existence results for boundary value problems of nonlinear fractional differential equations
• On four-point nonlocal boundary value problems of nonlinear integro-differential equations of fractional order
• The existence of multiple positive solutions for boundary value problems of nonlinear fractional differential equations
• Boundary value problems for differential equations with fractional order and nonlocal conditions
• Nonlocal and multiple-point boundary value problem for fractional differential equations
• Multiple solutions for fractional differential equations with nonlinear boundary conditions
• Existence and uniqueness of solutions for multi-point boundary value problems for fractional differential equations
• Existence of positive solution for singular fractional differential equation
• Positive solutions of nonlinear fractional differential equations with integral boundary value conditions
• Positive solutions for multipoint boundary value problem of fractional differential equations

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