Generalization of Taylor's formula and differential transform method for composite fractional \(q\)-derivative

DOI10.1007/s11139-018-9997-7zbMath1408.26007OpenAlexW2802100194MaRDI QIDQ1733358

Subhash Alha, Lata Chanchlani, Jaya Gupta

Publication date: 21 March 2019

Published in: The Ramanujan Journal (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11139-018-9997-7

zbMATH Keywords

\(q\)-difference equation\(q\)-differential transform method\(q\)-Taylor's formulacomposite fractional \(q\)-derivative

Mathematics Subject Classification ID

Initial value problems, existence, uniqueness, continuous dependence and continuation of solutions to ordinary differential equations (34A12) Fractional derivatives and integrals (26A33) Transform methods (e.g., integral transforms) applied to PDEs (35A22) Mittag-Leffler functions and generalizations (33E12)

Related Items

$q$-ANALOGUE OF HILFER-KATUGAMPOLA FRACTIONAL DERIVATIVES AND APPLICATIONS ⋮ On q,ω -differential transform method

Cites Work

• \(q\)-fractional calculus and equations
• Generalized differential transform method: Application to differential equations of fractional order
• Some Fractional q-Integrals and q-Derivatives
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