Existence of solutions for fractional differential equations with nonlocal and average type integral boundary conditions
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Publication:513487
DOI10.1007/s12190-015-0960-0zbMath1365.34009OpenAlexW2276371987MaRDI QIDQ513487
Bashir Ahmad, Sotiris K. Ntouyas, Ahmed Alsaedi
Publication date: 7 March 2017
Published in: Journal of Applied Mathematics and Computing (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s12190-015-0960-0
fixed point theoremsexistence and uniqueness of solutionsfractional differential equationnonlocal integral condition
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)
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On fractional differential equations and inclusions with nonlocal and average-valued (integral) boundary conditions ⋮ Existence of solutions for a nonlocal fractional boundary value problem ⋮ Iterative positive solutions to a coupled fractional differential system with the multistrip and multipoint mixed boundary conditions ⋮ The multiplicity of solutions for a class of nonlinear fractional Dirichlet boundary value problems with \(p\)-Laplacian type via variational approach ⋮ Iterative positive solutions to a coupled Riemann-Liouville fractional \(q\)-difference system with the Caputo fractional \(q\)-derivative boundary conditions ⋮ The Cauchy problem for discrete time fractional evolution equations ⋮ Iterative positive solutions to a coupled Hadamard-type fractional differential system on infinite domain with the multistrip and multipoint mixed boundary conditions
Cites Work
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- New fractional-order multivalued problems with nonlocal nonlinear flux type integral boundary conditions
- Fractional boundary value problems with singularities in space variables
- Existence and multiplicity of positive solutions for singular fractional boundary value problems
- Local fractional similarity solution for the diffusion equation defined on Cantor sets
- Existence and uniqueness of solutions to a fractional difference equation with nonlocal conditions
- Existence of solutions for fractional differential equations with integral boundary conditions
- Analytic approximation of solutions of the forced Duffing equation with integral boundary conditions
- Modelling fractal waves on shallow water surfaces via local fractional Korteweg-de Vries equation
- Eigenvalue problem for nonlinear fractional differential equations with integral boundary conditions
- Relaxation in nonconvex optimal control problems described by fractional differential equations
- Existence and uniqueness results for a class of BVPs for nonlinear fractional differential equations
- Properties of positive solutions to a class of four-point boundary value problem of Caputo fractional differential equations with a parameter
- Existence result for nonlinear fractional differential equation with \(p\)-Laplacian operator at resonance
- On Hadamard fractional integro-differential boundary value problems
- On the Cauchy problem for a general fractional porous medium equation with variable density
- Nonlinear fractional integro-differential equations on unbounded domains in a Banach space
- Existence results for systems with coupled nonlocal initial conditions
- Existence and uniqueness of solutions for a fractional boundary value problem on a graph
- Waves in viscoelastic media described by a linear fractional model
- Non-local boundary value problems of arbitrary order
- Advances in Fractional Calculus
- Existence results for higher order fractional differential inclusions with multi-strip fractional integral boundary conditions
- Differential equations with general boundary conditions
- Positive solutions of nonlinear fractional differential equations with integral boundary value conditions
