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A v v i s o d i S e m i n a r i o
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Martedì 16 Giugno, ore 11
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Stanza 34
Dipartimento di Scienze Statistiche
"Sapienza" Università di Roma
Prof. Z. Tomovski
(University of Skopje)
Title:
*Complete monotonicity of the Mittag-Leffler functions and Opial type
inequalities for fractional differential and integral operators involving
Mittag-Leffler functions *
Abstract:
Completely monotonic functions have applications in different areas of
mathematics, for instance, in potential theory, probability theory,
numerical and asymptotic analysis and combinatorics, modeling by anomalous
diffusion, etc. In this talk we'll present some recent new results on
complete monotonicity of three parameter Mittag-Leffler functions, defined
by Prabhakar. In 1960, Opial established an integral inequality, which is a
fundamental result in the theory of differential or difference equations
and other areas of mathematics. Opial-type integral inequalities were
considered for different kinds of fractional derivatives and fractional
integral operators for example Riemann-Liouville, Caputo, Canavati, etc.
We'll presents a class of very general weighted Opial type integral
inequalities using integral and differential operators with kernels in
fractional calculus involving generalized Mittag-Leffler functions. Namely,
ineteresting Opial type inequalities will be given for Hilfer, Prabhakar,
Hilfer-Prabhakar, Caputo-Prabhakar and other differential and integral
operators in fractional calculus.
Tutti gli interessati sono invitati a partecipare.
Saluti
Alessandro De Gregorio
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