the object of this paper is to establish certain generalized fractional integration and differentiation involving generalized mittag-leffler function defined by salim and faraj [25]. the considered generalized fractional calculus operators contain the appell's function $f_3$ [2, p.224] as kernel and are introduced by saigo and maeda [23]. the marichev-saigo-maeda fractional calculus operat...

The object of this paper is to establish certain generalized fractional integration and differentiation involving generalized Mittag-Leffler function defined by Salim and Faraj [25]. The considered generalized fractional calculus operators contain the Appell's function $F_3$ [2, p.224] as kernel and are introduced by Saigo and Maeda [23]. The Marichev-Saigo-Maeda fractional calculus operators a...

A homogeneous convex centrosymmetric body with constant thermal properties is initially at temperature zero and its boundary is maintained at a temperature Tb > 0. Prove or disprove that at any time t > 0, the point of minimum temperature is the center. Also, prove or disprove that the isothermal surfaces are convex and centrosymmetric. Note that the convexity of the isothermal surfaces will im...

In this paper, the generalized fractional integral operators involving Appell’s function F 3 ? in kernel due to Marichev–Saigo–Maeda are applied id="M3"> p , q -extended Struve function. The r...

On antiperiodic boundary value problem for a semilinear differential inclusion of fractional order q. The investigation control systems with nonlinear units forms complicated and very important part contemporary mathematical theory harmonic analysis, which has numerous applications attracts the attention number researchers around world. In turn, development inclusions is associated fact that th...