On coupled \(p\)-Laplacian fractional differential equations with nonlinear boundary conditions

DOI10.1155/2017/8197610zbMath1373.93157OpenAlexW2748414487WikidataQ61947018 ScholiaQ61947018MaRDI QIDQ1674783

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

Publication date: 26 October 2017

Published in: Complexity (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1155/2017/8197610

zbMATH Keywords

topological degreenonlinear boundary conditionsfractional differential equationsHyers-Ulam type stabilitynonlinear \(p\)-Laplacian operator

Mathematics Subject Classification ID

Nonlinear systems in control theory (93C10) Control problems involving ordinary differential equations (34H05) Control/observation systems governed by ordinary differential equations (93C15) Stability of control systems (93D99)

Related Items (14)

Generalized \(k\)-fractional conformable integrals and related inequalities ⋮ Positive solutions of \(p\)-Laplacian fractional differential equations with fractional derivative boundary condition ⋮ Hyers-Ulam stability for a coupled system of fractional differential equation with \(p\)-Laplacian operator having integral boundary conditions ⋮ A qualitative study on generalized Caputo fractional integro-differential equations ⋮ Positive solutions for a system of nonlinear fractional nonlocal boundary value problems with parameters and \(p\)-Laplacian operator ⋮ NUMERICAL ANALYSIS OF SOME FRACTIONAL ORDER DIFFERENTIAL EQUATIONS VIA LEGENDRE SPECTRAL METHOD ⋮ On a system of sequential Caputo-type \(p\)-Laplacian fractional BVPs with stability analysis ⋮ Green function's properties and existence theorems for nonlinear singular-delay-fractional differential equations ⋮ Existence of solutions for a multi-point boundary value problem with a \(p(r)\)-Laplacian ⋮ Existence results in Banach space for a nonlinear impulsive system ⋮ Existence of positive solution and Hyers-Ulam stability for a nonlinear singular-delay-fractional differential equation ⋮ Inequalities for new class of fractional integral operators ⋮ STABILITY RESULTS AND EXISTENCE THEOREMS FOR NONLINEAR DELAY-FRACTIONAL DIFFERENTIAL EQUATIONS WITH <inline-formula><tex-math id="M1">$ \varphi^*_P $</tex-math></inline-formula>-OPERATOR ⋮ EXISTENCE RESULTS AND STABILITY CRITERIA FOR ABC-FUZZY-VOLTERRA INTEGRO-DIFFERENTIAL EQUATION

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