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 … 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 …
On Dynamic Systems in the Frame of Singular Function Dependent …
WebMar 31, 2024 · In this paper, we establish the Lyapunov-type inequality for boundary value problems involving generalized Caputo fractional derivatives that unite the Caputo and Caputo-Hadamrad fractional derivatives. An application about the zeros of generalized types of Mittag-Leffler functions is given. WebThe Mittag-Leffler function arises naturally in the solution of fractional integral equations (Saxena et al. 2002), and especially in the study of the fractional generalization of the kinetic equation, random walks, Lévy … greensboro nc places to stay
Analytical solution of space-time fractional telegraph-type …
WebAug 29, 2024 · The Mittag-Leffler function plays an important role in several branches of mathematics and engineering sciences, such as statistics, chemistry, mechanics, quantum physics, informatics and others. In particular, it is involved in the explicit formula for the resolvent of Riemann-Liouville fractional integrals by Hille and Tamarkin. WebThis paper proposes a global Padé approximation of the generalized Mittag-Leffler function with . This uniform approximation can account for both the Taylor series for small arguments and asymptotic series for large a… WebMar 9, 2024 · In this manuscript, we have proved the mean value theorem and Taylor’s theorem for derivatives defined in terms of a Mittag–Leffler kernel. Formulae ( 6 ) and ( 10 ) obtained for Taylor’s theorem in the ABC context appear different from classical and previous results, mainly due to the replacement of power functions with a more general ... greensboro nc police p2c