A new analytical method to simulate the mutual impact of space-time memory indices embedded in (1 + 2)-physical models
Abstract: In the present article, we geometrically and analytically examine the mutual impact of space-time Caputo derivatives embedded in (1 + 2)-physical models. This has been accomplished by integrating the residual power series method (RPSM) with a new trivariate fractional power series representation that encompasses spatial and temporal Caputo derivative parameters. Theoretically, some results regarding the convergence and the error for the proposed adaptation have been established by virtue of the Riemann–Liouville fractional integral. Practically, the embedding of Schrödinger, telegraph, and Burgers’ equations into higher fractional space has been considered, and their solutions furnished by means of a rapidly convergent series that has ultimately a closed-form fractional function. The graphical analysis of the obtained solutions has shown that the solutions possess a homotopy mapping characteristic, in a topological sense, to reach the integer case solution where the Caputo derivative parameters behave similarly to the homotopy parameters. Altogether, the proposed technique exhibits a high accuracy and high rate of convergence.
- Location
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Deutsche Nationalbibliothek Frankfurt am Main
- Extent
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Online-Ressource
- Language
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Englisch
- Bibliographic citation
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A new analytical method to simulate the mutual impact of space-time memory indices embedded in (1 + 2)-physical models ; volume:11 ; number:1 ; year:2022 ; pages:522-538 ; extent:17
Nonlinear engineering ; 11, Heft 1 (2022), 522-538 (gesamt 17)
- Creator
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Makhadmih, Mohammad
Jaradat, Imad
Alquran, Marwan
Baleanu, Dumitru
- DOI
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10.1515/nleng-2022-0244
- URN
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urn:nbn:de:101:1-2022101014022834940925
- Rights
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Open Access; Der Zugriff auf das Objekt ist unbeschränkt möglich.
- Last update
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15.08.2025, 7:31 AM CEST
Data provider
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Associated
- Makhadmih, Mohammad
- Jaradat, Imad
- Alquran, Marwan
- Baleanu, Dumitru
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