In 1861, Becquerel analyzed the time-resolved luminescence and formulated an empirical hyperbolic-type decay function, which was later named law. Since then, studies about hyperbolic decays of have been carried on in different physical contexts. this paper we generalize law by using a Mittag-Leffler function with logarithmic argument, discuss its interpretation light recently published results.

The generalized exponential function in a complex domain is called the Mittag-Leffler (MLF). implementations of MLF are significant diverse areas science. Over past few decades, and its analysis with generalizations have become an increasingly rich research area mathematics allied fields. In geometric theory meromorphic functions, main contribution to this discipline study enrich operator on pu...

Among the numerous applications of theory fractional calculus in almost all applied sciences, numerical analysis and various fields physics engineering stand out [...]

Abstract In this article, first, we present an example of fuzzy normed space by means the Mittag-Leffler function. Next, extend concept to matrix valued and also introduce a class control functions stabilize nonlinear ϕ -Hadamard fractional Volterra integro-differential equation. sense, investigate Ulam–Hyers–Rassias stability for kind equations in Banach space. Finally, as application, using f...