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Zbl 1151.34003
Wang, Pin-Yu; Lin, Shy-Der; Srivastava, H.M.
Explicit solutions of Jacobi and Gauss differential equations by means of operators of fractional calculus. (English)
[J] Appl. Math. Comput. 199, No. 2, 760-769 (2008). ISSN 0096-3003

This paper is concerned with the use of methods from the fractional calculus to solve integer-order differential equations. Following preliminaries, in which basic ideas from the fractional calculus are introduced, the authors go on to present a new theorem on solutions of integer-order problems based on an existing theorem by Tu, Chyan and Srivastava for fractional order equations. This new result provides alternative formulations of solutions of classical differential equations.
[Neville Ford (Chester)]

MSC 2000:: *34A05 Methods of solution of ODE
34A25 Analytical theory of ODE
26A33 Fractional derivatives and integrals (real functions)

Keywords: fractional calculus; ordinary differential equations

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Zentralblatt MATH Berlin [Germany]