Analysis of implicit type nonlinear dynamical problem of impulsive fractional differential equations

DOI10.1155/2018/6423974zbMath1398.34013DBLPjournals/complexity/AhmadASZR18OpenAlexW2790984607WikidataQ61947009 ScholiaQ61947009MaRDI QIDQ1784284

Zeeshan Ali, Kamal Shah, Akbar Zada, Naveed Ahmad, Ghaus ur Rahman

Publication date: 26 September 2018

Published in: Complexity (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1155/2018/6423974

zbMATH Keywords

fixed-point theoremsimpulsive fractional differential equationsUlam-Hyers stability

Mathematics Subject Classification ID

Nonlinear boundary value problems for ordinary differential equations (34B15) Stability of solutions to ordinary differential equations (34D20) Applications of operator theory to differential and integral equations (47N20) Fractional ordinary differential equations (34A08)

Related Items (20)

Ulam stability to a toppled systems of nonlinear implicit fractional order boundary value problem ⋮ On coupled impulsive fractional integro-differential equations with Riemann-Liouville derivatives ⋮ Existence and Ulam-Hyers stability of a kind of fractional-order multiple point BVP involving noninstantaneous impulses and abstract bounded operator ⋮ Stability analysis of a nonlinear coupled implicit switched singular fractional differential system with \(p\)-Laplacian ⋮ Ulam-Hyers stability of impulsive integrodifferential equations with Riemann-Liouville boundary conditions ⋮ Unnamed Item ⋮ Unnamed Item ⋮ Analysis of coupled system of implicit fractional differential equations involving Katugampola-Caputo fractional derivative ⋮ Analysis of coupled systems of implicit impulsive fractional differential equations involving Hadamard derivatives ⋮ Multipoint boundary value problems for higher-order Hadamard fractional neutral differential equations and inclusions ⋮ Existence and uniqueness results for the coupled systems of implicit fractional differential equations with periodic boundary conditions ⋮ Mathematical analysis of nonlocal implicit impulsive problem under Caputo fractional boundary conditions ⋮ 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 ⋮ Analysis of nonlinear coupled systems of impulsive fractional differential equations with Hadamard derivatives ⋮ Mathematical analysis of implicit impulsive switched coupled evolution equations ⋮ Existence and stability analysis of nonlinear sequential coupled system of Caputo fractional differential equations with integral boundary conditions ⋮ Hyers-Ulam stability of a coupled system of fractional differential equations of Hilfer-Hadamard type ⋮ Unnamed Item ⋮ Stability of positive solutions for a class of nonlinear Hadamard type fractional differential equations with $p$-Laplacian

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