In this paper, a new identification of the Lagrange multipliers by means of the Sumudu transform, is employed to  btain a quick and accurate solution to the fractional Black-Scholes equation with the initial condition for a European option pricing problem. Undoubtedly this model is the most well known model for pricing financial derivatives. The fractional derivatives is described in Caputo sen...

In this present study, we investigate the solutions for fractional kinetic equations involving k-Struve function using the Sumudu transform. The graphical interpretations of the solutions involving k-Struve function and its comparison with generalized Bessel function are given. The methodology and results can be considered and applied to various related fractional problems in mathematical physics.

In this work, Sumudu transform is used to establish the solution of a regular fractional continuous-time linear system based on Caputo derivative-integral. First results proposed method are presented and compared existing ones.

Recently, Shehu has introduced an integral transform called transform, which generalizes the two well-known integrals transforms, i.e. Laplace and Sumudu transform. In literature, many transforms were used to compute solution of integro-differential equations (IDEs). this article, for first time, we use computation $n^{\text{th}}$-order IDEs. We present a general scheme give some examples with ...