New analytical technique to solve fractional-order Sharma-Tasso-Olver differential equation using Caputo and Atangana-Baleanu derivative operators

• Autorzy: Chauhan Jignesh P. , Khirsariya Sagar R. , Hathiwala Gautam S. , Hathiwala Minakshi

Identyfikatory

DOI

10.1515/jaa-2023-0043

• Języki publikacji: EN

Abstrakty

EN

The present work introduces a novel approach, the Adomian Decomposition Formable Transform Method (ADFTM), and its application to solve the fractional order Sharma-Tasso-Olver problem. The method’s distinctive outcomes are highlighted through a comparative analysis with established non-local Caputo fractional derivatives and the non-singular Atangana-Baleanu (ABC) fractional derivatives. To provide a comprehensive understanding, the proposed ADFTM’s approximate solution is compared with the homotopy perturbation method (HPM) and residual power series method (RPSM). Further, numerical and graphical results demonstrate the reliability and accuracy of the ADFTM approach. The novel outcomes presented in this work emphasize its capability to address complex engineering problems effectively. By demonstrating its efficacy in solving the fractional order problems, the new ADFTM proves to be a valuable tool in solving scientific problems.

Słowa kluczowe

EN

fractional differential equation; Caputo fractional derivative; Atangana-Baleanu fractional derivative in Caputo sense; time-fractional Sharma-Tasso-Olver equation; Adomian decomposition method; formable transform

• Wydawca: De Gruyter
• Czasopismo: Journal of Applied Analysis
• Rocznik: 2024
• Tom: Vol. 30, nr 1
• Strony: 1--16
• Opis fizyczny: Bibliogr. 55 poz., wykr.

Twórcy

autor

Chauhan Jignesh P.

• Department of Mathematical Sciences, P. D. Patel Institute of Applied Sciences, Charotar University of Science and Technology (CHARUSAT), Changa, Anand-388421 Gujarat, India

autor

Khirsariya Sagar R.

• Department of Mathematics, Marwadi University, Rajkot-360003, Gujarat, India

• https://orcid.org/0000-0003-3625-9818

autor

Hathiwala Gautam S.

• Department of Mathematics, Marwadi University, Rajkot-360003, Gujarat, India

autor

Hathiwala Minakshi

• Department of Mathematics, Marwadi University, Rajkot-360003, Gujarat, India

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Uwagi

Opracowanie rekordu ze środków MNiSW, umowa nr POPUL/SP/0154/2024/02 w ramach programu "Społeczna odpowiedzialność nauki II" - moduł: Popularyzacja nauki (2025).