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979  Articles
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Our exponentially increasing knowledge base creates many new technology challenges. Academia must therefore respond emphatically. Educating rising professionals to successfully confront these future difficulties requires innovative curricula challenges. A... see more

In this paper, we obtain the solution of a fractional reaction-diffusion equation associated with the generalized Riemann-Liouville fractional derivative as the time derivative and Riesz-Feller fractional derivative as the space-derivative. The results ar... see more

In this paper we study the Euler Transform, Laplace Transform, Whittaker Transform and Fractional Fourier Transform of order a, 0 < a = 1, u ? f (R) on certain special functions of generalized k-Mittag-Leffler function E_{k,a,ß}^{?,t} (z). 

The object of this paper is to introduce a new special function, which will be called S-function. This function is an extension of the generalized Mittag-Leffler function due to Prabhakar [7], generalized Mittag-Leffler function introduced by Srivastava a... see more

The marginal distribution of integrated renewal process is derived in this paper. Our approach is based on the theory of point processes, especially Poisson point processes. The results are presented in the form of Laplace transforms. DOI : http... see more

The problem of probabilistic analysis of a complex dynamic system, which in the process of functioning passes from one state to another at random times, is considered. The methodology for calculating the conditional probabilities of the system getting int... see more

In this paper we consider the problem of an infinitely long annular cylinder whose inner and outer surfaces are subjected to known surrounding temperatures and are traction free. The problem is in the context of the theory of thermoelasticity without ener... see more

This paper is concerned with the numerical solutions of a two dimensional space-time fractional differential equation used to model the dynamic properties of complex systems governed by anomalous diffusion. The space-time fractional anomalous diffusion eq... see more

Context. The phenomenological theory of heat conduction speed of heat propagation is assumed infinitely large. However, the high intensity of the observed transient processes such as explosions, supersonic flow, high speeds of rotation of the use of this ... see more

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