Approximation of solution for generalized Basset equation with finite delay using Rothe's approach

Raksha Devi; Dwijendra  N. Pandey

doi:10.26637/mjm1101/003

Abstract

This study focuses on the use of the Riemann-Liouville fractional (R-L) derivative to address an initial boundary value problem for a fractional order differential equation with finite delay (FDDE). Rothe's methodology is used to prove the existence and uniqueness of the strong solution and classical solution to the restated abstract FDDE. Some examples based on abstract theory and numerical solutions of FDDEs arising in fluid dynamics are presented.

Keywords:

accretive operator, strong solution, classical solution, delay differential equation, Rothe's method

Mathematics Subject Classification:

34G20, 34K37, 12H20

Author Biographies

Raksha Devi, Department of Mathematics, Indian Institute of Technology Roorkee, Uttarakhand, India.

Research Scholar, Department of Mathematics, IIT Roorkee

D. N. Pandey, Department of Mathematics, Indian Institute of Technology Roorkee, Uttarakhand, India.

Associate Professor, Department of Mathematics, IIT Roorkee

Authors Imprint References Funding Related Articles Downloads

Raksha Devi Department of Mathematics, Indian Institute of Technology Roorkee, Uttarakhand, India. https://orcid.org/0009-0007-2563-0630
D. N. Pandey Department of Mathematics, Indian Institute of Technology Roorkee, Uttarakhand, India. https://orcid.org/0000-0001-8542-7094

Pages: 25-42
Date Published: 01-01-2023
Vol. 11 No. 01 (2023): Malaya Journal of Matematik (MJM)

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