Results 181 to 190 of about 12,310,207 (201)

Caputo generalized ψ-fractional integral inequalities

Journal of Applied Analysis, 2020
Abstract Very general univariate and multivariate Caputo ψ-fractional integral inequalities of Poincaré, Sobolev and Hilbert–Pachpatte types are presented. Estimates are with respect to ∥
openaire   +1 more source

On New Generalized Fractional Integral Operators and Related Fractional Inequalities

2017
In this paper, we define the generalized k-fractional integrals of a function with respect to the another function which generalizes many different types of fractional integrals such as Riemann-Liouville fractional, Hadamard fractional integrals, Katugampola fractional integral, (k, s)-fractional integral operators. Moreover, we obtain Hermite-Hadamard
TUNÇ, Tuba, BUDAK, Hüseyin, USTA, Fuat, SARIKAYA, Mehmet Zeki   +3 more
openaire   +4 more sources

Fractional derivatives: integral representations and generalized polynomials

2004
Summary: We show that the use of functions associated with generalized forms of Hermite polynomials provide a natural tool for the solution of partial differential equations involving fractional derivatives. Within such a context we clarify the meaning of exponential operators with fractional derivatives and discuss alternative definitions based on ...
DATTOLI G, CESARANO C, RICCI, Paolo Emilio, VAZQUEZ L.   +3 more
openaire   +2 more sources

The General Fractional Integrals and Derivatives on a Finite Interval

Mathematics, 2023
Mohammed Al-Refai, Yuri Luchko
exaly  

Hermite–Hadamard’s Inequalities for Fractional Integrals and Related Fractional Inequalities

Mathematical and Computer Modelling, 2013
Mehmet Zeki Sarikaya, Erhan Set, Hatice Yaldiz   +2 more
exaly  

Desiderata for Fractional Derivatives and Integrals

Mathematics, 2019
Yuri Luchko, Rudolf Hilfer
exaly  

Certain Hermite-Hadamard Type Inequalities via Generalized k-Fractional Integrals

Journal of Inequalities and Applications, 2017
Praveen Agarwal, Mohamed Jleli, Muharrem Tomar   +2 more
exaly  

Some Inequalities of Čebyšev Type for Conformable k-Fractional Integral Operators

Symmetry, 2018
Kottakkaran Sooppy Nisar, Feng Qi, Sardar Muhammad Hussain   +2 more
exaly  

On Generalized Grüss Type Inequalities for k-Fractional Integrals

Applied Mathematics and Computation, 2015
Mehmet Zeki Sarikaya, Erhan Set, Muharrem Tomar   +2 more
exaly  

Tuning Fractional Order Proportional Integral Controllers for Fractional Order Systems

Journal of Process Control, 2010
Ying Luo, Chun Yang Wang, You Guo Pi
exaly