$q$-ANALOGUE OF HILFER-KATUGAMPOLA FRACTIONAL DERIVATIVES AND APPLICATIONS

DOI10.56827/seajmms.2023.1902.06OpenAlexW4390593759MaRDI QIDQ6123843

Ishfaq Mallah, Lata Chanchlani, Subhash Alha

Publication date: 8 April 2024

Published in: South East Asian Journal of Mathematics and Mathematical Sciences (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.56827/seajmms.2023.1902.06

zbMATH Keywords

\(q^p\)-Mittag-Leffler functiongeneralized \(q\)-differential transform methodgeneralized \(q\)-Taylor's formulaHilfer-Katugampola fractional \(q\)-derivatives

Mathematics Subject Classification ID

Fractional derivatives and integrals (26A33) Difference equations, scaling ((q)-differences) (39A13)

Cites Work

• Caputo-type modification of the Hadamard fractional derivatives
• \(q\)-fractional calculus and equations
• On a differential equation involving Hilfer-Hadamard fractional derivative
• Caputo \(q\)-fractional initial value problems and a \(q\)-analogue Mittag-Leffler function
• Generalization of Taylor's formula and differential transform method for composite fractional \(q\)-derivative
• Hilfer-Katugampola fractional derivatives
• A New Approach to Generalized Fractional Derivatives
• Some Fractional q-Integrals and q-Derivatives
• Study of new class of q-fractional integral operator
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