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Simulating the joint impact of temporal and spatial memory indices via a novel analytical scheme

dc.contributor.authorJaradat, Imad
dc.contributor.authorAlquran, Marwan
dc.contributor.authorSivasundaram, Seenith
dc.contributor.authorBaleanu, Dumitru
dc.contributor.authorID56389tr_TR
dc.date.accessioned2023-01-04T08:28:37Z
dc.date.available2023-01-04T08:28:37Z
dc.date.issued2021
dc.departmentÇankaya Üniversitesi, Fen - Edebiyat Fakültesi, Matematik Bölümüen_US
dc.description.abstractThe prime concern of this study is to simulate the joint effect for the presence of two fractional derivative parameters (memory indices) by providing a novel analytical solution scheme for the fractional initial value problems. Our goal has been fulfilled by extending the residual power series method into the two-dimensional time and space, with time and space endowed with fractional derivative orders alpha and gamma, respectively (simply denoted by fractional (alpha,gamma) space), by virtue of a new (alpha,gamma)-fractional power series representation ((alpha,gamma)-FPS). The necessary theoretical framework for the convergence and the error bound is also provided to enrich our analytical study. Among other main findings, it is deserved to mention that the fractional derivative parameters act like the homotopy parameters, in a topological sense, to generate a rapidly convergent series solution for the classical integer version of the problem under consideration, which promotes the idea that these parameters describe a remnant memory. The efficiency of the proposed approach is assessed by projecting the obtained solutions of several well-known (non)linear problems into lower-dimensional fractal space and/or into integer space and then comparing them with the corresponding results of the literature. Overall, the method shows a wide versatility and adequacy in dealing with such hybrid problems.en_US
dc.description.publishedMonth2
dc.identifier.citationJaradat, Imad...et al. (2021). "Simulating the joint impact of temporal and spatial memory indices via a novel analytical scheme", NONLINEAR DYNAMICS, Vol. 103, No. 3, pp. 2509-2524.en_US
dc.identifier.doi10.1007/s11071-021-06252-2
dc.identifier.endpage2524en_US
dc.identifier.issn0924-090X
dc.identifier.issn1573-269X
dc.identifier.issue3en_US
dc.identifier.startpage2509en_US
dc.identifier.urihttp://hdl.handle.net/20.500.12416/6016
dc.identifier.volume103en_US
dc.language.isoenen_US
dc.relation.ispartofNONLINEAR DYNAMICSen_US
dc.rightsinfo:eu-repo/semantics/closedAccessen_US
dc.subjectCaputo-Fractional Derivativeen_US
dc.subjectPdes in Fractal 2D Spaceen_US
dc.subjectBilateral-Fractional RPSMen_US
dc.titleSimulating the joint impact of temporal and spatial memory indices via a novel analytical schemetr_TR
dc.titleSimulating the Joint Impact of Temporal and Spatial Memory Indices Via a Novel Analytical Schemeen_US
dc.typeArticleen_US
dspace.entity.typePublication

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