Work

Solution of Linear Caputo Fractional Differential Equations with Fractional Initial Conditions

Year: 2025

Type: article

Abstract: The computation of solutions of Caputo fractional differential equations is paramount in modeling to establish its benefits over the corresponding integer order models. In the literature so far, in order to compute the solution of Caputo fractional differential equations, the solution is typically assumed to be a Cn function, which is a sufficient condition for the Caputo derivative to exist. In this work, we assume the necessary condition for the Caputo derivative of order nq,(n−1)

Source: AppliedMath

DOI: 10.3390/appliedmath5040157

Authors: Aghalaya S. Vatsala, Govinda Pageni

Institutions: University of Louisiana at Lafayette, Florida State University-Panama

Language: English

Topic: Fractional Differential Equations Solutions

Subfield: Modeling and Simulation

Field: Mathematics

Domain: Physical Sciences

Open Access status: gold

Estimated APC paid: $1,207

OpenAlex ID: W4415988293

FWCI: 0.765

Cites: 10

Cited by: 1

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