Existence theory for sequential fractional differential equations with anti-periodic type boundary conditions

DOI10.1515/math-2016-0064zbMath1353.34006OpenAlexW2538069028WikidataQ60199288 ScholiaQ60199288MaRDI QIDQ330335

Ahmed Alsaedi, Mohammed H. Aqlan, Bashir Ahmad, Juan. J. Nieto

Publication date: 25 October 2016

Published in: Open Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1515/math-2016-0064

zbMATH Keywords

existencefixed pointnonlocalanti-periodicLiouville-Caputosequential fractional differential equations

Mathematics Subject Classification ID

Nonlinear boundary value problems for ordinary differential equations (34B15) 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)

Related Items (12)

Stability analysis of multi-point boundary value problem for sequential fractional differential equations with non-instantaneous impulses ⋮ Nonlinear sequential fractional differential equations with nonlocal boundary conditions involving lower-order fractional derivatives ⋮ Applicability of Mönch's fixed point theorem on existence of a solution to a system of mixed sequential fractional differential equation ⋮ Uniqueness and Ulam-Hyers-Rassias stability results for sequential fractional pantograph \(q\)-differential equations ⋮ Fractional-order differential equations with anti-periodic boundary conditions: a survey ⋮ A coupled system of Caputo-type sequential fractional differential equations with coupled (periodic/anti-periodic type) boundary conditions ⋮ Nonlinear sequential fractional differential equations with nonlocal boundary conditions ⋮ Sequential fractional differential equations and unification of anti-periodic and multi-point boundary conditions ⋮ Multi-term fractional differential equations with nonlocal boundary conditions ⋮ SEQUENTIAL FRACTIONAL DIFFERENTIAL EQUATIONS AT RESONANCE ⋮ Existence and Ulam-Hyers stability of coupled sequential fractional differential equations with integral boundary conditions ⋮ Existence results for nonlinear multiorder fractional differential equations with integral and antiperiodic boundary conditions

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