On the solvability of Caputo \(q\)-fractional boundary value problem involving \(p\)-Laplacian operator

DOI10.1155/2013/658617zbMath1470.34009OpenAlexW2146767181WikidataQ58916544 ScholiaQ58916544MaRDI QIDQ2318945

Hüseyin Aktuğlu, Mehmet Ali Özarslan

Publication date: 16 August 2019

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

Full work available at URL: https://doi.org/10.1155/2013/658617

Mathematics Subject Classification ID

Nonlinear boundary value problems for ordinary differential equations (34B15) Fractional ordinary differential equations (34A08)

Related Items (9)

Positive solutions for nonlinear semipositone fractional \(q\)-difference system with coupled integral boundary conditions ⋮ Existence and uniqueness results for \(q\)-fractional difference equations with \(p\)-Laplacian operators ⋮ Solvability of differential equations of order \(2<{\alpha}\leq 3\) involving the \(p\)-Laplacian operator with boundary conditions ⋮ The solution theory of the nonlinear \(q\)-fractional differential equations ⋮ A DIFFERENCE METHOD FOR SOLVING THE NONLINEAR q-FRACTIONAL DIFFERENTIAL EQUATIONS ON TIME SCALES ⋮ A difference method for solving the \(q\)-fractional differential equations ⋮ Existence of extremal solutions for a nonlinear fractional \(q\)-difference system ⋮ Existence of solutions for nonlinear fractional \(q\)-difference equations with Riemann-Liouville type \(q\)-derivatives ⋮ Positive solution for \(q\)-fractional four-point boundary value problems with \(p\)-Laplacian operator

Cites Work

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• On the solvability of a fractional differential equation model involving the \(p\)-Laplacian operator
• A generalized \(q\)-Mittag-Leffler function by \(q\)-Caputo fractional linear equations
• Caputo \(q\)-fractional initial value problems and a \(q\)-analogue Mittag-Leffler function
• An anti-periodic boundary value problem for the fractional differential equation with a \(p\)-Laplacian operator
• Stability of \(q\)-fractional non-autonomous systems
• Some Fractional q-Integrals and q-Derivatives

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