Ulam type stability for a coupled system of boundary value problems of nonlinear fractional differential equations

DOI10.1155/2017/3046013zbMath1377.34012OpenAlexW2761920296WikidataQ61947020 ScholiaQ61947020MaRDI QIDQ1674068

Tahir Saeed Khan, Aziz Khan, Yongjin Li, Kamal Shah

Publication date: 1 November 2017

Published in: Journal of Function Spaces (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1155/2017/3046013

zbMATH Keywords

boundary conditionspositive solutionsHyers-Ulam stabilityLeray-Schauder-type fixed point theoremPerov's fixed point theorem

Mathematics Subject Classification ID

Nonlinear boundary value problems for ordinary differential equations (34B15) Perturbations of ordinary differential equations (34D10) Applications of operator theory to differential and integral equations (47N20) Positive solutions to nonlinear boundary value problems for ordinary differential equations (34B18) Fractional ordinary differential equations (34A08)

Related Items (25)

On Hyers-Ulam stability of a multi-order boundary value problems via Riemann-Liouville derivatives and integrals ⋮ Existence and approximate controllability of Hilfer fractional evolution equations with almost sectorial operators ⋮ Ulam stability to a toppled systems of nonlinear implicit fractional order boundary value problem ⋮ Approximate cubic Lie derivations on \(\rho\)-complete convex modular algebras ⋮ Existence, uniqueness and Ulam's stability of solutions for a coupled system of fractional differential equations with integral boundary conditions ⋮ On Ulam-Hyers-Rassias stability of a generalized Caputo type multi-order boundary value problem with four-point mixed integro-derivative conditions ⋮ Existence and stability results for nonlocal boundary value problems of fractional order ⋮ Unnamed Item ⋮ Analysis of coupled system of implicit fractional differential equations involving Katugampola-Caputo fractional derivative ⋮ Investigating a class of generalized Caputo-type fractional integro-differential equations ⋮ The existence, uniqueness, and stability results for a nonlinear coupled system using \(\psi\)-Caputo fractional derivatives ⋮ Existence and Hyers-Ulam stability of solutions to a nonlinear implicit coupled system of fractional order ⋮ Existence, uniqueness and Ulam-Hyers-Rassias stability of differential coupled systems with Riesz-Caputo fractional derivative ⋮ Stability theory to a coupled system of nonlinear fractional hybrid differential equations ⋮ ADAPTED HOMOTOPY PERTURBATION METHOD WITH SHEHU TRANSFORM FOR SOLVING CONFORMABLE FRACTIONAL NONLINEAR PARTIAL DIFFERENTIAL EQUATIONS ⋮ On Ulam's stability for a coupled systems of nonlinear implicit fractional differential equations ⋮ Existence and stability for a nonlinear coupled \(p\)-Laplacian system of fractional differential equations ⋮ Stability of Ulam-Hyers and Ulam-Hyers-Rassias for a class of fractional differential equations ⋮ Asymptotic behavior of almost quartic \(\ast \)-derivations on Banach \(\ast \)-algebras ⋮ Mathematical analysis of implicit impulsive switched coupled evolution equations ⋮ An existence study on the fractional coupled nonlinear \(q\)-difference systems via quantum operators along with Ulam-Hyers and Ulam-Hyers-Rassias stability ⋮ Existence and stability of impulsive coupled system of fractional integrodifferential equations ⋮ MILD SOLUTIONS OF COUPLED HYBRID FRACTIONAL ORDER SYSTEM WITH CAPUTO–HADAMARD DERIVATIVES ⋮ MATHEMATICAL ANALYSIS OF COUPLED SYSTEMS WITH FRACTIONAL ORDER BOUNDARY CONDITIONS ⋮ Uniqueness and Hyers-Ulam stability results for differential variational inequalities with nonlocal conditions

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Ulam-Hyers stability of fractional Langevin equations
• Mini-workshop: The \(p\)-Laplacian operator and applications. Abstracts from the workshop held February 10--16, 2013.
• Analysis of the solutions of coupled nonlinear fractional reaction-diffusion equations
• Positive solution to nonzero boundary values problem for a coupled system of nonlinear fractional differential equations
• Further results on exponential stability for impulsive switched nonlinear time-delay systems with delayed impulse effects
• On four-point nonlocal boundary value problems of nonlinear integro-differential equations of fractional order
• Existence results for a coupled system of nonlinear fractional differential equations with three-point boundary conditions
• Positive solutions to singular boundary value problem for nonlinear fractional differential equation
• Existence and uniqueness of solutions for multi-point boundary value problems for fractional differential equations
• Boundary value problem for a coupled system of nonlinear fractional differential equations
• Fractional differential equations in electrochemistry
• On the Hyers-Ulam stability of the functional equations that have the quadratic property
• Coupled fixed point theorems with applications to fractional evolution equations
• Controllability of fractional integro-differential evolution equations with nonlocal conditions
• Existence results of mild solutions for impulsive fractional evolution equations with periodic boundary condition
• Application of topological degree method for solutions of coupled systems of multipoints boundary value problems of fractional order hybrid differential equations
• Study of solution to a toppled system of fractional differential equations with integral boundary conditions
• Hyers-Ulam stability of nonlinear integral equation
• Positive solutions for coupled nonlinear fractional differential equations
• Study of a class of arbitrary order differential equations by a coincidence degree method
• Mittag-Leffler stability of impulsive differential equations of fractional order
• Existence results for boundary value problems with non-linear fractional differential equations
• Existence results and Hyers-Ulam stability to a class of nonlinear arbitrary order differential equations
• On the Stability of the Linear Functional Equation

This page was built for publication: Ulam type stability for a coupled system of boundary value problems of nonlinear fractional differential equations