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Generalized Method for Solving Fractional Differential Equations

Year: 2024

Type: article

Abstract: This paper explores the solution of fractional-order differential equations (where 100 < α < 1) along with initial conditions using the power series method. A novel 11technique is introduced to obtain exact solutions for fractional differential equations, 12which extends to solve integer-order differential equations as well. Additionally, 13a generalized technique for finite systems is presented, accompanied by numerous 14examples and applications showcasing our results. The paper also includes graphical 15representations of the solutions.

Source: Zenodo (CERN European Organization for Nuclear Research)

DOI: 10.5281/zenodo.14265943

Author: Uttara Deshmukh, Shilpi Dewangan, Gajanan Lomte

Language: English

Topic: Fractional Differential Equations Solutions

Subfield: Modeling and Simulation

Field: Mathematics

Domain: Physical Sciences

Open Access status: green

OpenAlex ID: W6930400896

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