UHML stability of a class of $ \Delta $-Hilfer FDEs via CRM

Safoura Rezaei Aderyani; Reza Saadati; Donal O'Regan; Thabet Abdeljawad; Safoura Rezaei Aderyani; Reza Saadati; Donal O'Regan; Thabet Abdeljawad

doi:10.3934/math.2022328

AIMS Mathematics

2022, Volume 7, Issue 4: 5910-5919. doi: 10.3934/math.2022328

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Research article

UHML stability of a class of $ \Delta $-Hilfer FDEs via CRM

1.
School of Mathematics, Iran University of Science and Technology, Narmak, Tehran, Iran
2.
School of Mathematical and Statistical Sciences, National University of Ireland, Galway, University Road, Galway, Ireland
3.
Department of Mathematics and Sciences, Prince Sultan University, P. O. Box 66833, 11586 Riyadh, Saudi Arabia
4.
Department of Medical Research, China Medical University, Taichung 40402, Taiwan

Received: 08 November 2021 Revised: 14 December 2021 Accepted: 23 December 2021 Published: 12 January 2022
MSC : 46L05, 47B47, 47H10, 46L57, 39B62

We apply CRM based on an alternative FPT to investigate the approximation of a $ \Delta $-Hilfer FDE. In comparison to the Picard method, we show that the CRM has a better error estimate and economic solution.
- UHML stability,
- $ \Delta $-Hilfer,
- FDE,
- FPT
Citation: Safoura Rezaei Aderyani, Reza Saadati, Donal O'Regan, Thabet Abdeljawad. UHML stability of a class of $ \Delta $-Hilfer FDEs via CRM[J]. AIMS Mathematics, 2022, 7(4): 5910-5919. doi: 10.3934/math.2022328

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Abstract

We apply CRM based on an alternative FPT to investigate the approximation of a $ \Delta $-Hilfer FDE. In comparison to the Picard method, we show that the CRM has a better error estimate and economic solution.

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