In this paper, a mathematical model containing two-parameter Mittag-Leffler function in its definition is proposed to be used for the first time to fit the relation between unemployment rate and inflation rate, also known as the Phillips curve. The Phillips curve is in the literature often represented by an exponential-like shape. On the other hand, Phillips in his fundamental paper used a powe...

R.K. SAXENA Department of Mathematics and Statistics, Jai Narain Vyas University Jodhpur 342001, INDIA A.M. MATHAI Department of Mathematics and Statistics, McGill University, 805 Sherbooke Street West, Montreal, CANADA H3A 2K6 H.J. HAUBOLD Office for Outer Space Affairs, United Nations, P.O. Box 500, A-1400 Vienna, AUSTRIA Abstract. The subject of this paper is to derive the solution of genera...

Stability is the most relevant property of dynamical systems. The stability stochastic differential equations a challenging and still open problem. In this article, using fuzzy Mittag–Leffler function, we introduce new controller function to stabilize equation (SDE) ν′(γ,μ)=Fγ,μ,ν(γ,μ). By adopting fixed point technique, are able prove Mittag–Leffler–Hyers–Ulam–Rassias SDE.

Introduction/purpose: Certain integrals involving the generalized Mittag-Leffler function with different types of polynomials are established. Methods: The properties used in conjunction kinds such as Jacobi, Legendre, and Hermite order to evaluate their integrals. Results: Some integral formulae Legendre function, Bessel Maitland hypergeometric functions derived. Conclusions: results obtained ...

Special functions such as hypergeometric, zeta, Bessel, Whittaker, Struve, Airy, Weber-Hermite and Mittag-Leffler are obtained a solution to complex differential equations in engineering, science technology. In this work, generalized Euler-type integrals involving four parameters function proposed. Some special cases of type that corresponding well-known results the literature also inferred.

In this paper a closed form solution of a fractional integro-differential equation of Volterra type involving Mittag-Leffler function has been obtained using straight forward technique of Sumudu transform. Some particular cases have also been considered.

A new generalization of the Katugampola generalized fractional integrals in terms Mittag-Leffler functions is proposed. Consequently, generalizations Hermite-Hadamard inequalities by this newly proposed integral operator, for a positive convex stochastic process, are established. Other known results easily deduced as particular cases these inequalities. The obtained also hold any function.

We aim to introduce extended generalized Mittag-Leffler function (EGMLF) via the Beta and obtain certain integral differential representation of them. Further, we present some formulas Riemann-–Liouville fractional integration differentiation operators. Also, derive various transforms, including Euler transform, Laplace Whittakar transform K-transform. The operator images are expressed in terms...

This work is devoted to define new generalized gamma and beta functions involving the recently suggested seven-parameter Mittag-Leffler function, followed by a review of all related special cases. In addition, necessary investigations are affirmed for including, Mellin transform, differential formulas, integral representations, essential summation relations. Furthermore, crucial statistical app...