A Novel and Efficient Iterative Approach to Approximating Solutions of Fractional Differential Equations

A Novel and Efficient Iterative Approach to Approximating Solutions of Fractional Differential Equations

This study presents a novel and efficient iterative approach to approximating the fixed points of contraction mappings in Banach spaces, specifically approximating the solutions of nonlinear fractional differential equations of the Caputo type. We establish two theorems proving the stability and con...

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Bibliographic Details
Main Authors: Doaa Filali, Nidal H. E. Eljaneid, Adel Alatawi, Esmail Alshaban, Montaser Saudi Ali, Faizan Ahmad Khan
Format: Article
Language:English
Published: MDPI AG 2024-12-01
Series:Mathematics
Subjects:
iteration methods
fixed point
fractional differential equations
Banach spaces
stability
data dependence
Online Access:https://www.mdpi.com/2227-7390/13/1/33
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