Conformable Fractional Differintegral Method For Solving Fractional Equations

Date
2020-03-03
Authors
Syouri, Saber T.R.
Mamat, Mustafa
Alghrouz, Ibrahim M.M.
Sulaiman, Ibrahim Mohammed
Journal Title
Journal ISSN
Volume Title
Publisher
Elsevier
Abstract
The standard approaches to the problem of conformable fractional calculus has been studied extensively. Many researchers have shown that the obtained conditions for the theorem describing the general solution of; y a ( x ) y b ( x )    are generally weaker than those derived by using the classical norm-type expansion and compression theorem. In this paper, we propose conformable method for the fractional differential transform and established the prove for basic properties of differintegrals. Some solved examples have been reported to illustrate the possible application of the obtained results.
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Keywords
Conformable Fractional Derivatives, Fractional Calculus, α- differintegrals, the integrating factor, Caputo, Riemann– Liouville, positive solution
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