An efficient hybridization scheme for time-fractional Cauchy equations with convergence analysis Article Swipe
Saud Fahad Aldosary
,
Ram Swroop
,
Jagdev Singh
,
Ateq Alsaadi
,
Kottakkaran Sooppy Nisar
·
YOU?
·
· 2022
· Open Access
·
· DOI: https://doi.org/10.3934/math.2023072
YOU?
·
· 2022
· Open Access
·
· DOI: https://doi.org/10.3934/math.2023072
In this paper, a time-fractional Cauchy equation (TFCE) is analyzed by using the q-homotopy analysis Shehu transform algorithm (q-HASTA) with convergence analysis. The q-HASTA comprises with the reduced differential transform algorithm (RDTA). The solution of TFCE is represented in the series form by using the q-HASTA scheme. The TFCE is transformed into algebraic form for finding the general solution efficiently. This provides a compact form solution with minimized error. There are three key outcomes of the work. First, the small size of input parameters by the RDTA transforms into the subsidiary equation so that it takes short time to solve. As the second advantage, the structure of the problem is reduced by controlling the solution series; hence the characterization of the solution becomes classified for finding the particular solution. The third advantage of this work is that the approximate solution with absolute error approximation for the fractional model of the problem is handled by using a generalized and efficient scheme q-HASTA. These outcomes are illustrated by graphs and tables.
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- https://doi.org/10.3934/math.2023072
- OA Status
- gold
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https://openalex.org/W4307701255Canonical identifier for this work in OpenAlex
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https://doi.org/10.3934/math.2023072Digital Object Identifier
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An efficient hybridization scheme for time-fractional Cauchy equations with convergence analysisWork title
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articleOpenAlex work type
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enPrimary language
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2022Year of publication
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2022-10-20Full publication date if available
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Saud Fahad Aldosary, Ram Swroop, Jagdev Singh, Ateq Alsaadi, Kottakkaran Sooppy NisarList of authors in order
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https://doi.org/10.3934/math.2023072Publisher landing page
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goldOpen access status per OpenAlex
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Mathematics, Convergence (economics), Initial value problem, Series (stratigraphy), Applied mathematics, Cauchy distribution, Algorithm, Mathematical analysis, Economics, Paleontology, Economic growth, BiologyTop concepts (fields/topics) attached by OpenAlex
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2Total citation count in OpenAlex
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2023: 2Per-year citation counts (last 5 years)
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10Other works algorithmically related by OpenAlex
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| referenced_works | https://openalex.org/W2134837756, https://openalex.org/W3167088957, https://openalex.org/W1528987510, https://openalex.org/W2086737536, https://openalex.org/W1972478479, https://openalex.org/W3005664637, https://openalex.org/W1544402461, https://openalex.org/W3099400498, https://openalex.org/W2567011822, https://openalex.org/W2948949658, https://openalex.org/W1966557211, https://openalex.org/W2959237220, https://openalex.org/W2943866278, https://openalex.org/W2918282077, https://openalex.org/W2981385531, https://openalex.org/W2508086609, https://openalex.org/W2144522870, https://openalex.org/W130143189, https://openalex.org/W2890165747, https://openalex.org/W3157602297, https://openalex.org/W3170897793, https://openalex.org/W1981649896, https://openalex.org/W2590384605, https://openalex.org/W2043948244, https://openalex.org/W2024708489, https://openalex.org/W3047200991, https://openalex.org/W3111181797, https://openalex.org/W4213412563, https://openalex.org/W4207040095, https://openalex.org/W3135021706 |
| referenced_works_count | 30 |
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