Volume : VIII, Issue : IX, September - 2019

Fractional derivatives and Fractional Integrals

Afsar Khan

Abstract :

We discuss regular approaches to the problems and definition of the fractional derivatives and fractional integrals (simply called differ integrals), namely the Riemann–Liouville Fractional derivative and Caputo fractional derivative and fractional integrals. We prove the basic properties of fractional integrals and Fractional derivatives as well as some theorems of the fractional integrals and derivatives including the rules for their compositions and the conditions for the equivalence of various definitions. The paper focuses on find the approximate values for functions derivatives, when the function order is a negative, illustrate by a some theorems and examples.

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Article: Download PDF    DOI : 10.36106/ijsr  

Cite This Article:

FRACTIONAL DERIVATIVES AND FRACTIONAL INTEGRALS, AFSAR KHAN INTERNATIONAL JOURNAL OF SCIENTIFIC RESEARCH : Volume-8 | Issue-9 | September-2019

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