A remark on the \(q\)-fractional order differential equations

DOI10.1016/j.amc.2019.01.008zbMath1428.34023OpenAlexW2909770960MaRDI QIDQ2009250

Tie Zhang, Yongchao Tang

Publication date: 27 November 2019

Published in: Applied Mathematics and Computation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.amc.2019.01.008

zbMATH Keywords

iterative methodanalytical method\(q\)-fractional derivatives\(q\)-fractional differential equation\(q\)-fractional integrals

Mathematics Subject Classification ID

(q)-calculus and related topics (05A30) Difference equations, scaling ((q)-differences) (39A13) Fractional ordinary differential equations (34A08) Functional-differential equations with fractional derivatives (34K37)

Related Items

Analytical solutions of \(q \)-fractional differential equations with proportional derivative ⋮ The solution theory of the nonlinear \(q\)-fractional differential equations ⋮ An efficient numerical method for \(q\)-fractional differential equations ⋮ Interval-valued fractional \(q\)-calculus and applications ⋮ A DIFFERENCE METHOD FOR SOLVING THE NONLINEAR q-FRACTIONAL DIFFERENTIAL EQUATIONS ON TIME SCALES ⋮ A difference method for solving the \(q\)-fractional differential equations ⋮ A reproducing kernel method for nonlinear C-q-fractional IVPs ⋮ The solution theory for the fractional hybrid \(q\)-difference equations ⋮ Geometric properties of certain classes of analytic functions associated with a \(q\)-integral operator ⋮ Study of new class of q-fractional integral operator ⋮ THE UNIQUE EXISTENCE OF SOLUTION IN THE q-INTEGRABLE SPACE FOR THE NONLINEAR q-FRACTIONAL DIFFERENTIAL EQUATIONS

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