ITERATIVE TECHNIQUES WITH INITIAL TIME DIFFERENCE AND COMPUTER REALIZATION FOR THE INITIAL VALUE PROBLEM FOR CAPUTO FRACTIONAL DIFFERENTIAL EQUATIONS

Donal O'Regan

ITERATIVE TECHNIQUES WITH INITIAL TIME DIFFERENCE AND COMPUTER REALIZATION FOR THE INITIAL VALUE PROBLEM FOR CAPUTO FRACTIONAL DIFFERENTIAL EQUATIONS

Mathematics

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Abstract

Some algorithms are given and applied in an appropriate computer environment to solve approximately the initial value problem for scalar nonlinear Caputo fractional differential equations on a finite interval. Various schemes for constructing successive approximations are suggested. They do not use Mittag-Leffler functions and as a result the practical application of the algorithms is easier. Several particular initial value problems for Caputo fractional differential equations are given to illustrate the advantages of the iterative techniques.

Original language	English (Ireland)
Number of pages	13
Journal	Memoirs On Differential Equations And Mathematical Physics
Volume	72
Publication status	Published - 1 Jan 2017

Authors (Note for portal: view the doc link for the full list of authors)

Authors
Agarwal, RP;Golev, A;Hristova, S;O'Regan, D;Stefanova, K

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JO - Memoirs On Differential Equations And Mathematical Physics

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ITERATIVE TECHNIQUES WITH INITIAL TIME DIFFERENCE AND COMPUTER REALIZATION FOR THE INITIAL VALUE PROBLEM FOR CAPUTO FRACTIONAL DIFFERENTIAL EQUATIONS

Abstract

Authors (Note for portal: view the doc link for the full list of authors)

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