ANALYTICAL TREATMENT OF VOLTERRA INTEGRO-DIFFERENTIAL EQUATIONS OF FRACTIONAL DERIVATIVES

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GHASEMI M.; BABOLIAN E.

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Journal: MATHEMATICAL RESEARCHES Year:2016 | Volume:2 | Issue:1 Page(s): 7-16

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Information Journal Paper

Title

ANALYTICAL TREATMENT OF VOLTERRA INTEGRO-DIFFERENTIAL EQUATIONS OF FRACTIONAL DERIVATIVES

Author(s)

GHASEMI M. | BABOLIAN E. | Issue Writer Certificate

Keywords

FRACTIONAL VOLTERRA INTEGRO-DIFFERENTIAL EQUATIONSQ2

CAPUTO FRACTIONAL DERIVATIVEQ2

RIEMANN-LIOUVILLE FRACTIONAL DERIVATIVEQ2

Abstract

In this paper the solution of the Volterra integro-differential equations of fractional order is presented. The proposed method consists in constructing the functional series, sum of which determines the function giving the solution of considered problem. We derive conditions under which the solution series, constructed by the method is convergent. Some examples are presented to verify convergence, efficiency and simplicity of the method.

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APA: Copy

GHASEMI, M., & BABOLIAN, E.. (2016). ANALYTICAL TREATMENT OF VOLTERRA INTEGRO-DIFFERENTIAL EQUATIONS OF FRACTIONAL DERIVATIVES. MATHEMATICAL RESEARCHES, 2(1), 7-16. SID. https://sid.ir/paper/260818/en

Vancouver: Copy

GHASEMI M., BABOLIAN E.. ANALYTICAL TREATMENT OF VOLTERRA INTEGRO-DIFFERENTIAL EQUATIONS OF FRACTIONAL DERIVATIVES. MATHEMATICAL RESEARCHES[Internet]. 2016;2(1):7-16. Available from: https://sid.ir/paper/260818/en

IEEE: Copy

M. GHASEMI, and E. BABOLIAN, “ANALYTICAL TREATMENT OF VOLTERRA INTEGRO-DIFFERENTIAL EQUATIONS OF FRACTIONAL DERIVATIVES,” MATHEMATICAL RESEARCHES, vol. 2, no. 1, pp. 7–16, 2016, [Online]. Available: https://sid.ir/paper/260818/en

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