Analytical Solution for the Differential Equation Containing Generalized Fractional Derivative Operators and Mittag-Leffler-Type Function | Zendy

V. B. L. Chaurasia | Zendy; Ravi Shanker Dubey | Zendy

Open Access

Analytical Solution for the Differential Equation Containing Generalized Fractional Derivative Operators and Mittag-Leffler-Type Function

Author(s) -

V. B. L. Chaurasia,

Ravi Shanker Dubey

Publication year - 2011

Publication title -

isrn applied mathematics

Language(s) - English

Resource type - Journals

eISSN - 2090-5572

pISSN - 2090-5564

DOI - 10.5402/2011/682381

Subject(s) - mathematics , fractional calculus , laplace transform , green's function for the three variable laplace equation , mathematical analysis , mittag leffler function , first order partial differential equation , differential equation , type (biology) , derivative (finance) , function (biology) , order (exchange) , universal differential equation , inverse laplace transform , exact differential equation , ecology , finance , evolutionary biology , biology , financial economics , economics

We discuss and derive the analytical solution for the fractional partial differential equation with generalized Riemann-Liouville fractional operator ,0, of order and . Here, we derive the solution of the given differential equation with the help of Laplace and Hankel transform in terms of Fox's -function as well as in terms of Fox-Wright function .

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