Solution of sequential Hadamard fractional differential equations by variation of parameter technique

DOI10.1155/2018/9605353zbMath1470.34023OpenAlexW2792382840WikidataQ130195463 ScholiaQ130195463MaRDI QIDQ1667623

Mohammed M. Matar

Publication date: 30 August 2018

Published in: Abstract and Applied Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1155/2018/9605353

Mathematics Subject Classification ID

Initial value problems, existence, uniqueness, continuous dependence and continuation of solutions to ordinary differential equations (34A12) Fractional ordinary differential equations (34A08)

Related Items (7)

On the nonlinear Hadamard-type integro-differential equation ⋮ Investigation of the \(p\)-Laplacian nonperiodic nonlinear boundary value problem via generalized Caputo fractional derivatives ⋮ Langevin differential equation in frame of ordinary and Hadamard fractional derivatives under three point boundary conditions ⋮ On nonlocal integral and derivative boundary value problem of nonlinear Hadamard Langevin equation with three different fractional orders ⋮ A method for solving Caputo–Hadamard fractional initial and boundary value problems ⋮ Positive solutions of singular Hadamard-type fractional differential equations with infinite-point boundary conditions or integral boundary conditions ⋮ Positive solutions for a system of nonlinear Hadamard fractional differential equations involving coupled integral boundary conditions

Cites Work

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• Existence results for fractional differential equations of arbitrary order with nonlocal integral boundary conditions
• On Caputo type sequential fractional differential equations with nonlocal integral boundary conditions
• Riemann-Liouville fractional integro-differential equations with fractional nonlocal integral boundary conditions
• Fractional calculus in viscoelasticity: an experimental study
• Nonlinear Hadamard fractional differential equations with Hadamard type nonlocal non-conserved conditions
• Fractional differential equations in electrochemistry
• On general fractional differential inclusions with nonlocal integral boundary conditions
• On Hadamard fractional integro-differential boundary value problems

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