Positive solutions for an oscillator fractional initial value problem

DOI10.1007/S12190-016-0996-9zbMath1378.34010OpenAlexW2285843889MaRDI QIDQ1676967

Rachid Bebbouchi, Amar Chidouh, Assia Guezane-Lakoud

Publication date: 10 November 2017

Published in: Journal of Applied Mathematics and Computing (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s12190-016-0996-9

zbMATH Keywords

Laplace transformMittag-Leffler functioninitial value problemVolterra integral equationfixed point theoremfractional differential equations

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 (3)

On some existence and uniqueness results for a class of equations of order \(0 < \alpha \leq 1\) on arbitrary time scales ⋮ On the existence and uniqueness for high order fuzzy fractional differential equations with uncertainty ⋮ Linear and Nonlinear Fractional Voigt Models

Cites Work

• Existence of positive solutions for a class of nonlinear fractional differential equations with integral boundary conditions and a parameter
• Existence, multiplicity, and dependence on a parameter for a periodic boundary value problem
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• A periodic boundary value problem with vanishing Green's function
• Eigenvalue criteria for existence of multiple positive solutions of nonlinear boundary value problems of local and nonlocal type
• Initial value problem of fractional order
• Positive solutions for boundary value problem of nonlinear fractional differential equation
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