An application of q-Sumudu transform for fractional q-kinetic equation

DOI10.3906/mat-1703-7zbMath1424.33036OpenAlexW2791510174WikidataQ130069397 ScholiaQ130069397MaRDI QIDQ4634132

Faruk Uçar, Sunil Dutt Purohit

Publication date: 7 May 2019

Published in: TURKISH JOURNAL OF MATHEMATICS (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3906/mat-1703-7

zbMATH Keywords

\(q\)-Sumudu transforms\(q\)-kinetic equationRiemann-Liouville fractional \(q\)-integrals

Mathematics Subject Classification ID

Transform methods (e.g., integral transforms) applied to PDEs (35A22) Mittag-Leffler functions and generalizations (33E12) Difference equations, scaling ((q)-differences) (39A13)

Related Items (7)

Extended Bessel-Maitland function and its properties pertaining to integral transforms and fractional calculus ⋮ Estimates and properties of certain \(q\)-Mellin transform on generalized \(q\)-calculus theory ⋮ The \(q\)-Sumudu transform and its certain properties in a generalized \(q\)-calculus theory ⋮ Certain properties of generalized \(q\)-Mittag-Leffler type function and its application in fractional \(q\)-kinetic equation ⋮ On Janowski analytic \((p,q)\)-starlike functions in symmetric circular domain ⋮ Some results for Laplace-type integral operator in quantum calculus ⋮ Sign-changing solutions for Schrödinger-Kirchhoff-type fourth-order equation with potential vanishing at infinity

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