Generalized Quantum Integro-Differential Fractional Operator with Application of 2D-Shallow Water Equation in a Complex Domain

Rabha, W. Ibrahim; Baleanu, Dumitru

dc.contributor.author	Rabha, W. Ibrahim
dc.contributor.author	Baleanu, Dumitru
dc.date.accessioned	2024-04-03T13:33:20Z
dc.date.available	2024-04-03T13:33:20Z
dc.date.issued	2021
dc.identifier.citation	Rabha, W. Ibrahim; Baleanu, D. (2021). "Generalized Quantum Integro-Differential Fractional Operator with Application of 2D-Shallow Water Equation in a Complex Domain", Axioms, Vol.10, No.342, pp. 1-12.	tr_TR
dc.identifier.issn	2075-1680
dc.identifier.uri	http://hdl.handle.net/20.500.12416/7848
dc.description.abstract	In this paper, we aim to generalize a fractional integro-differential operator in the open unit disk utilizing Jackson calculus (quantum calculus or q-calculus). Next, by consuming the generalized operator to define a formula of normalized analytic functions, we present a set of integral inequalities using the concepts of subordination and superordination. In addition, as an application, we determine the maximum and minimum solutions of the extended fractional 2D-shallow water equation in a complex domain.	tr_TR
dc.language.iso	eng	tr_TR
dc.relation.isversionof	https://doi.org/10.3390/axioms10040342	tr_TR
dc.rights	info:eu-repo/semantics/openAccess	tr_TR
dc.subject	Quantum Calculus	tr_TR
dc.subject	Fractional Calculus	tr_TR
dc.subject	Analytic Function	tr_TR
dc.subject	Subordination	tr_TR
dc.subject	Univalent Function	tr_TR
dc.subject	Open Unit Disk	tr_TR
dc.subject	Differential Operator	tr_TR
dc.subject	Convolution Operator	tr_TR
dc.title	Generalized Quantum Integro-Differential Fractional Operator with Application of 2D-Shallow Water Equation in a Complex Domain	tr_TR
dc.type	article	tr_TR
dc.relation.journal	Axioms	tr_TR
dc.contributor.authorID	56389	tr_TR
dc.identifier.volume	10	tr_TR
dc.identifier.issue	342	tr_TR
dc.identifier.startpage	1	tr_TR
dc.identifier.endpage	12	tr_TR
dc.contributor.department	Çankaya Üniversitesi, Fen-Edebiyat Fakültesi, Matematik Bölümü	tr_TR