Abstract
Symmetry is a fascinating property of numerous mathematical notions. In mathematical analysis a function f:[a,b]→R symmetric about a+b2 satisfies the equation f(a+b−x)=f(x). In this paper, we investigate the relationship of unified Mittag–Leffler function with some known special functions. We have obtained some integral transforms of unified Mittag–Leffler function in terms of Wright generalized function. We also established a recurrence relation along with another important result. Furthermore, we give formulas of Riemann–Liouville fractional integrals and fractional integrals containing unified Mittag–Leffler function for symmetric functions.
Highlights
IntroductionDifferentiation operator is known to all of the mathematicians using elementary calculus
Motivated and inspired by the ongoing research, the aim of this paper is to study the unified Mittag–Leffler function recently introduced by Zhang et al [16] in the prospect of Wright generalized hypergeometric function
By applying the Definition 7, we can write the above expression in terms of Wright generalized hypergeometric function as follows: λ,ρ,θ,k,η
Summary
Differentiation operator is known to all of the mathematicians using elementary calculus. A large volume of work is devoted on the applications of the fractional calculus on a variety of differential equations. This led to a huge scientific literature on the use of fractional calculus in fields of science and engineering. These include electromagnetics, fluid flow, viscoelasticity, electrical networks, signals processing, electromagnetic theory, and probability. After appearing as a powerful tool in the development of pure and applied mathematics fractional integral operators get importance for their use in the fractional control theory
Sign-in/Register to view highlights & summary Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Schedule a callDisclaimer: All third-party content on this website/platform is and will remain the property of their respective owners and is provided on "as is" basis without any warranties, express or implied. Use of third-party content does not indicate any affiliation, sponsorship with or endorsement by them. Any references to third-party content is to identify the corresponding services and shall be considered fair use under The CopyrightLaw.
