Fractional \(q\)-difference hybrid equations and inclusions with Dirichlet boundary conditions

DOI10.1186/1687-1847-2014-199zbMath1417.39021OpenAlexW2166401728WikidataQ59321464 ScholiaQ59321464MaRDI QIDQ1620715

Bashir Ahmad, Sotiris K. Ntouyas

Publication date: 13 November 2018

Published in: Advances in Difference Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1186/1687-1847-2014-199

zbMATH Keywords

existenceboundary conditionsfixed pointfractional derivative\(q\)-difference

Mathematics Subject Classification ID

Ordinary differential inclusions (34A60) Difference equations, scaling ((q)-differences) (39A13) Positive solutions to nonlinear boundary value problems for ordinary differential equations (34B18) Fractional ordinary differential equations (34A08) Functional-differential equations with fractional derivatives (34K37)

Related Items

Existence results for impulsive fractional \(q\)-difference equations with anti-periodic boundary conditions, Positive solutions for nonlinear \(q\)-fractional difference eigenvalue problem with nonlocal conditions, On implicit fractional q‐difference equations: Analysis and stability, Application of fractional quantum calculus on coupled hybrid differential systems within the sequential Caputo fractional \(q\)-derivatives

Cites Work

• Existence results for nonlocal boundary value problems of nonlinear fractional \(q\)-difference equations
• \(q\)-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
• Positive solutions for a class of boundary value problems with fractional \(q\)-differences
• Theory of fractional hybrid differential equations
• Caputo \(q\)-fractional initial value problems and a \(q\)-analogue Mittag-Leffler function
• The analysis of fractional differential equations. An application-oriented exposition using differential operators of Caputo type
• Fractional differential equations. An introduction to fractional derivatives, fractional differential equations, to methods of their solution and some of their applications
• The existence of solutions for boundary value problem of fractional hybrid differential equations
• A study of nonlinear fractional \(q\)-difference equations with nonlocal integral boundary conditions
• New applications of the variational iteration method -- from differential equations to \(q\)-fractional difference equations
• Existence of solutions for nonlinear fractional \(q\)-difference integral equations with two fractional orders and nonlocal four-point boundary conditions
• Existence results for neutral functional differential inclusions in Banach algebras
• Two-point boundary value problems for finite fractional difference equations
• Nontrivial solutions for fractional<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML"><mml:mi>q</mml:mi></mml:math>-difference boundary value problems
• Existence and Uniqueness of Solution to a Functional Integro-differential Fractional Equation
• Existence of solutions for multi-point boundary value problem of fractional q-difference equation
• Advances in Fractional Calculus
• Some Fractional q-Integrals and q-Derivatives
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item