Certain fractional \(q\)-symmetric integrals and \(q\)-symmetric derivatives and their application

DOI10.1186/s13662-016-0947-7zbMath1422.39032OpenAlexW2510611020WikidataQ59466420 ScholiaQ59466420MaRDI QIDQ1628013

Mingzhe Sun, Yuanfeng Jin, Chengmin Hou

Publication date: 3 December 2018

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

Full work available at URL: https://doi.org/10.1186/s13662-016-0947-7

zbMATH Keywords

boundary value problemfractional \(q\)-symmetric derivativesfractional \(q\)-symmetric integrals

Mathematics Subject Classification ID

Fractional derivatives and integrals (26A33) Difference equations, scaling ((q)-differences) (39A13) Nonlocal and multipoint boundary value problems for ordinary differential equations (34B10) Fractional ordinary differential equations (34A08)

Related Items (3)

On nonlocal fractional symmetric Hahn integral boundary value problems for fractional symmetric Hahn integrodifference equation ⋮ Nonlocal \(q\)-symmetric integral boundary value problem for sequential \(q\)-symmetric integrodifference equations ⋮ Quantum symmetric analogue of various integral inequalities over finite intervals

Cites Work

• Unnamed Item
• Unnamed Item
• The \(q\)-symmetric variational calculus
• A generalized \(q\)-Mittag-Leffler function by \(q\)-Caputo fractional linear equations
• Positive solutions for a class of boundary value problems with fractional \(q\)-differences
• Positive solutions for boundary value problem of nonlinear fractional \(q\)-difference equation
• Caputo \(q\)-fractional initial value problems and a \(q\)-analogue Mittag-Leffler function
• Basic-deformed quantum mechanics
• A fractional Leibniz q-formula
• Existence solutions for boundary value problem of nonlinear fractional \(q\)-difference equations
• Certain inequalities involving the fractional \(q\)-integral operators
• Nonlocal boundary value problem for nonlinear impulsive \(q_k\)-integrodifference equation
• Existence of solutions for nonlinear fractional \(q\)-difference integral equations with two fractional orders and nonlocal four-point boundary conditions
• A study of second-order \(q\)-difference equations with boundary conditions
• On nonlocal boundary value problems of nonlinear \(q\)-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
• Fractional q-Calculus on a time scale
• Information in black hole radiation
• Some Fractional q-Integrals and q-Derivatives
• \(q\)-deformed structures and nonextensive statistics: a comparative study

This page was built for publication: Certain fractional \(q\)-symmetric integrals and \(q\)-symmetric derivatives and their application