Existence of solutions for fractional \(q\)-integrodifference equations with nonlocal fractional \(q\)-integral conditions

DOI10.1155/2014/474138zbMath1470.39017OpenAlexW2141165238WikidataQ59038540 ScholiaQ59038540MaRDI QIDQ1724192

Jessada Tariboon, Suphawat Asawasamrit, Sotiris K. Ntouyas

Publication date: 14 February 2019

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

Full work available at URL: https://doi.org/10.1155/2014/474138

Mathematics Subject Classification ID

Difference equations, scaling ((q)-differences) (39A13) Nonlocal and multipoint boundary value problems for ordinary differential equations (34B10) Fractional ordinary differential equations (34A08) Functional-differential equations with fractional derivatives (34K37)

Related Items (7)

On a nonlinear sequential four-point fractional \(q\)-difference equation involving \(q\)-integral operators in boundary conditions along with stability criteria ⋮ Application of some special operators on the analysis of a new generalized fractional Navier problem in the context of \(q\)-calculus ⋮ Some analytical and numerical results for a fractional \(q\)-differential inclusion problem with double integral boundary conditions ⋮ On two structures of the fractional q‐sequential integro‐differential boundary value problems ⋮ Impulsive quantum difference systems with boundary conditions ⋮ A coupled system of fractional \(q\)-integro-difference equations with nonlocal fractional \(q\)-integral boundary conditions ⋮ On a fractional cantilever beam model in the q-difference inclusion settings via special multi-valued operators

Cites Work

• Existence results for nonlocal boundary value problems of nonlinear fractional \(q\)-difference equations
• Existence of solutions for nonlinear fractional \(q\)-difference inclusions with nonlocal Robin (separated) conditions
• \(q\)-fractional calculus and equations
• Positive solutions for a class of higher order boundary value problems with fractional \(q\)-derivatives
• Existence and uniqueness of solutions to a fractional difference equation with nonlocal conditions
• Existence of positive solutions of nonlinear fractional \(q\)-difference equation with parameter
• A study of nonlinear fractional \(q\)-difference equations with nonlocal integral boundary conditions
• Existence of solutions for nonlinear fractional \(q\)-difference integral equations with two fractional orders and nonlocal four-point boundary conditions
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• Some Fractional q-Integrals and q-Derivatives
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