New concepts of fractional Hahn's \(q,\omega \)-derivative of Riemann-Liouville type and Caputo type and applications

DOI10.1186/s13662-018-1753-1zbMath1448.26011OpenAlexW2888981884MaRDI QIDQ1713540

Chengmin Hou, Yizhu Wang, Yiding Liu

Publication date: 25 January 2019

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

Full work available at URL: https://doi.org/10.1186/s13662-018-1753-1

zbMATH Keywords

initial value problemboundary value problemquantum calculus\(q,\omega \)-derivative

Mathematics Subject Classification ID

(q)-calculus and related topics (05A30) Fractional derivatives and integrals (26A33) Difference equations, scaling ((q)-differences) (39A13) (q)-gamma functions, (q)-beta functions and integrals (33D05)

Related Items (8)

Hahn Laplace transform and its applications ⋮ Impulsive fractional quantum Hahn difference boundary value problems ⋮ On q,ω -differential transform method ⋮ On new modifications governed by quantum Hahn's integral operator pertaining to fractional calculus ⋮ Some results on quantum Hahn integral inequalities ⋮ Taylor theory associated with Hahn difference operator ⋮ New quantum estimates in the setting of fractional calculus theory ⋮ Existence results of nonlocal Robin mixed Hahn and \(q\)-difference boundary value problems

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• Generalized transversality conditions for the Hahn quantum variational calculus
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• Quantum calculus

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