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Reproducing kernel approach for numerical solutions of fuzzy fractional initial value problems under the Mittag-Leffler kernel differential operator
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  • omar abu arqub,
  • Jagdev Singh,
  • Banan Maayah ,
  • Mohammed Alhodaly
omar abu arqub
Al-Balqa' Applied University
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Jagdev Singh
JECRC University
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Banan Maayah
The University of Jordan
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Mohammed Alhodaly
King Abdulaziz University
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Abstract

In this research study, fuzzy fractional differential equations in presence of the Atangana-Baleanu-Caputo differential operators are analytically and numerically treated using extended reproducing Kernel Hilbert space technique. With the utilization of a fuzzy strongly generalized differentiability form, a new fuzzy characterization theorem beside two fuzzy fractional solutions is constructed and computed. To besetment the attitude of fuzzy fractional numerical solutions; analysis of convergence and conduct of error beyond the reproducing kernel theory are explored and debated. In this tendency, three computational algorithms and modern trends in terms of analytic and numerical solutions are propagated. Meanwhile, the dynamical characteristics and mechanical features of these fuzzy fractional solutions are demonstrated and studied during two applications via three-dimensional graphs and tabulated numerical values. In the end, highlights and future suggested research work are eluded.

Peer review status:ACCEPTED

21 Dec 2020Submitted to Mathematical Methods in the Applied Sciences
22 Dec 2020Submission Checks Completed
22 Dec 2020Assigned to Editor
05 Jan 2021Reviewer(s) Assigned
16 Jan 2021Review(s) Completed, Editorial Evaluation Pending
18 Jan 2021Editorial Decision: Revise Minor
27 Jan 20211st Revision Received
28 Jan 2021Submission Checks Completed
28 Jan 2021Assigned to Editor
28 Jan 2021Reviewer(s) Assigned
28 Jan 2021Review(s) Completed, Editorial Evaluation Pending
30 Jan 2021Editorial Decision: Accept