Numerical treatment by implementing a successive approximation method for fractional riccati and logistic differential equations

• Autorzy: Adel Mohamed , Khader Mohamed M.

Identyfikatory

DOI

10.17512/jamcm.2024.4.01

• Języki publikacji: EN

Abstrakty

EN

The fractional Riccati/Logistic differential equations (FRDE/FLDE) can be accurately solved numerically by using the approach presented in this study. In the provided questions, the fractional derivative is in the Caputo-Fabrizio (CF) sense. The suggested approach is the successive approximation technique (SAM). In this technique, we approximate the solution of the FRDE and FLDE with a finite-dimensional problem. A particular focus is examining the convergence analysis and estimating the upper bound on the error of the obtained approximate scheme. We offer an outcome on worldwide convergence of consecutive estimates. Also, to show the thoroughness of the method proposed, we computed the residual error function. Illustrative instances are given to prove the usefulness and validity of the suggested method.

Słowa kluczowe

EN

fractional Riccati/logistic differential equation; CF fractional derivative; successive approximations approach; convergence analysis

PL

frakcyjna równanie różniczkowe Riccati/logistyczne; frakcyjna pochodna CF; podejście przybliżeń kolejnych; analiza zbieżności

• Wydawca: Wydawnictwo Politechniki Częstochowskiej
• Czasopismo: Journal of Applied Mathematics and Computational Mechanics
• Rocznik: 2024
• Tom: Vol. 23, nr 4
• Strony: 5--17
• Opis fizyczny: Bibliogr. 32 poz., rys., tab.

Twórcy

autor

Adel Mohamed

• Department of Mathematics, Faculty of Science, Islamic University of Madinah Medina, KSA

autor

Khader Mohamed M.

• Department of Mathematics and Statistics, College of Science, Imam Mohammad Ibn Saud Islamic University (IMSIU), Riyadh, KSA

Bibliografia

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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).