On nonlinear fractional sum-difference equations via fractional sum boundary conditions involving different orders

DOI10.1155/2015/519072zbMath1394.39021OpenAlexW2213852052WikidataQ59118836 ScholiaQ59118836MaRDI QIDQ1665904

Saowaluk Chasreechai, Thanin Sitthiwirattham, Chanakarn Kiataramkul

Publication date: 27 August 2018

Published in: Mathematical Problems in Engineering (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1155/2015/519072

Mathematics Subject Classification ID

Fractional derivatives and integrals (26A33) General theory of functional equations and inequalities (39B05)

Related Items (9)

Existence and multiplicity of positive solutions to a system of fractional difference equations with parameters ⋮ On nonlocal fractional sum-difference boundary value problems for Caputo fractional functional difference equations with delay ⋮ Positive solutions of three-point fractional sum boundary value problem for Caputo fractional difference equations via an argument with a shift ⋮ Solvability and stability of nonlinear hybrid \(\Delta\)-difference equations of fractional-order ⋮ Unnamed Item ⋮ Existence results of initial value problems for hybrid fractional sum-difference equations ⋮ Existence of positive solution to a coupled system of singular fractional difference equations via fractional sum boundary value conditions ⋮ On positive solution to multi-point fractional h-sum eigenvalue problems for caputo fractional h-difference equations ⋮ On a coupled system of fractional sum-difference equations with \(p\)-Laplacian operator

Cites Work

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• Existence of solutions for discrete fractional boundary value problems with a \(p\)-Laplacian operator
• Positive solutions to boundary value problems of fractional difference equation with nonlocal conditions
• On delta and nabla Caputo fractional differences and dual identities
• Dual identities in fractional difference calculus within Riemann
• Discrete fractional logistic map and its chaos
• Über die Methode der a priori-Schranken
• Boundary value problem forp−Laplacian Caputo fractional difference equations with fractional sum boundary conditions
• On a discrete fractional three-point boundary value problem
• Two-point boundary value problems for finite fractional difference equations
• Existence and uniqueness of solutions of sequential nonlinear fractional difference equations with three‐point fractional sum boundary conditions
• Existence and uniqueness of solution to some discrete fractional boundary value problems of order less than one

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