WebIn this article, we discuss the existence and uniqueness theorem for differential equations in the frame of Caputo fractional derivatives with a singular function dependent kernel. … WebJun 24, 2024 · Mittag-Leffler function is a natural generalization of the exponential function. Recent applications of Mittag-Leffler function have reshaped the scientific literature due to its fractional effects that cannot be obtained by using exponential function. ... Hence, by taking th derivative of representation w.r.t and using , one can obtain which ...
Analytical solution of space-time fractional telegraph-type …
WebThis lecture belongs to the field of Fractional Calculus. In this lecture, a MATLAB code of the Mittag Leffler Function (one-, two-, and three-parameter) is ... WebMar 31, 2024 · Several extensions of the classical Mittag-Leffler function, including multi-parameter and multivariate versions, have been used to define fractional integral and derivative operators. In this paper, we consider a function of one variable with five parameters, a special case of the Fox–Wright function. chunk no captain chunk gone are the good days
On Dynamic Systems in the Frame of Singular Function Dependent …
WebSep 7, 2012 · The Mittag-Leffler function with two parameters plays an important role and appears frequently in solutions of fractional differential equations (i.e. differential … WebApr 11, 2024 · Two different fractional operators’, namely, power-law and Mittag–Leffler function, numerical schemes in the stochastic form, are utilized to obtain numerical simulations to support the theoretical results. It is observed that the fractional order derivative has effect on the dynamics of the spread of the disease. WebApr 30, 2024 · Inequalities which involve integrals of functions and their derivatives, whose study has a history of about a century, are of great importance in mathematics, with far-reaching applications in the theory of differential equations, approximations, and probability, among others. ... The Mittag–Leffler function with its generalizations … chunk o basilisk recipe