On the nonlinear fractional differential equations with Caputo sequential fractional derivative

DOI10.1155/2015/174156zbMath1338.34028OpenAlexW2175445085WikidataQ59102433 ScholiaQ59102433MaRDI QIDQ277731

Rui Huang, Hailong Ye

Publication date: 2 May 2016

Published in: Advances in Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1155/2015/174156

zbMATH Keywords

initial value problemSchauder fixed point theoremCaputo fractional derivative

Mathematics Subject Classification ID

Initial value problems, existence, uniqueness, continuous dependence and continuation of solutions to ordinary differential equations (34A12) Applications of operator theory to differential and integral equations (47N20) Fractional ordinary differential equations (34A08)

Related Items (9)

Periodic boundary value problem involving sequential fractional derivatives in Banach space ⋮ Existence theory for sequential fractional differential equations with anti-periodic type boundary conditions ⋮ Existence and Mittag-Leffler-Ulam-stability results for Duffing type problem involving sequential fractional derivatives ⋮ Existence results and Ulam-Hyers stability for a fully coupled system of nonlinear sequential Hilfer fractional differential equations and integro-multistrip-multipoint boundary conditions ⋮ Semi-analytic solutions of nonlinear multidimensional fractional differential equations ⋮ Nonlinear sequential fractional differential equations with nonlocal boundary conditions ⋮ Unnamed Item ⋮ SEQUENTIAL FRACTIONAL DIFFERENTIAL EQUATIONS AT RESONANCE ⋮ Existence and Ulam-Hyers stability of coupled sequential fractional differential equations with integral boundary conditions

Cites Work

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