Results 31 to 40 of about 42,388 (275)

Coordination of Classical and Dynamic Inequalities Complying on Time Scales

European Journal of Mathematical Analysis, 2023
In this research article, we present extensions of some classical inequalities such as Schweitzer, Pólya–Szegö, Kantorovich and Greub–Rheinboldt inequalities of fractional calculus on time scales. To investigate generalizations of such types of classical
Muhammad Jibril Shahab Sahir
doaj   +1 more source

Katugampola Fractional Calculus With Generalized k−Wright Function

European Journal of Mathematical Analysis, 2021
In this article, we present some properties of the Katugampola fractional integrals and derivatives. Also, we study the fractional calculus properties involving Katugampola Fractional integrals and derivatives of generalized k−Wright function nΦkm(z).
Ahmad Y. A. Salamooni, D. D. Pawar
openaire   +4 more sources

Generalized transversality conditions in fractional calculus of variations [PDF]

Communications in Nonlinear Science and Numerical Simulation, 2013
This is a preprint of a paper whose final and definite form will be published in Communications in Nonlinear Science and Numerical Simulation, accepted 14-July ...
Almeida, R, Malinowska, AB
openaire   +3 more sources

Asymptotic Hybrid Projection Lag Synchronization of Nonidentical Variable-Order Fractional Complex Dynamic Networks

Mathematics, 2023
Significant progress has been made in incorporating fractional calculus into the projection and lag synchronization of complex networks. However, real-world networks are highly complex, making the fractional derivative used in complex dynamics more ...
Zhenduo Sun, Nengneng Qing, Xiangzhi Kong   +2 more
doaj   +1 more source

On the 1st-Level General Fractional Derivatives of Arbitrary Order

Fractal and Fractional, 2023
In this paper, the 1st-level general fractional derivatives of arbitrary order are defined and investigated for the first time. We start with a generalization of the Sonin condition for the kernels of the general fractional integrals and derivatives and ...
Yuri Luchko
doaj   +1 more source

General Fractional Integrals and Derivatives with the Sonine Kernels

Mathematics, 2021
In this paper, we address the general fractional integrals and derivatives with the Sonine kernels on the spaces of functions with an integrable singularity at the point zero.
Yuri Luchko
doaj   +1 more source

Generalized integral inequalities for fractional calculus

Cogent mathematics & statistics, 2018
In this paper, we present a variety of integral inequalities in Lp and Lp, r spaces for the integral operator involving generalized Mittag-Leffler function in its kernel, Hilfer fractional derivative, generalized Riemann-Liouville and Riemann- Liouville k-fractional integral operators.
Iqbal, Sajid, Pečarić, Josip, Samraiz, Muhammad   +2 more
openaire   +3 more sources

Stochastic differential equations driven by fractional Brownian motion and Poisson point process [PDF]

, 2015
In this paper, we study a class of stochastic differential equations with additive noise that contains a fractional Brownian motion (fBM) and a Poisson point process of class (QL).
Bai, Lihua, Ma, Jin
core   +1 more source

Fractional calculus and application of generalized Struve function [PDF]

SpringerPlus, 2016
A new generalization of Struve function called generalized Galué type Struve function (GTSF) is defined and the integral operators involving Appell's functions, or Horn's function in the kernel is applied on it. The obtained results are expressed in terms of the Fox-Wright function.
Kottakkaran Sooppy Nisar, Dumitru Baleanu, Maysaa’ Mohamed Al Qurashi   +2 more
openaire   +2 more sources

Stochastic Differential Games in a Non-Markovian Setting [PDF]

, 2005
Stochastic differential games are considered in a non-Markovian setting. Typically, in stochastic differential games the modulating process of the diffusion equation describing the state flow is taken to be Markovian.
Bayraktar, Erhan, Poor, H. Vincent
core   +1 more source