Hartman-Wintner-type inequality for fractional differential equation with Prabhakar derivative [PDF]
In this paper, we consider a nonlocal fractional boundary value problem with Prabhakar derivative and obtained a Hartman-Wintner type inequality for it.
arxiv
Existence and stability of impulsive coupled system of fractional integrodifferential equations
In this manuscript, we deal with a class and coupled system of implicit fractional differential equations, having some initial and impulsive conditions. Existence and uniqueness results are obtained by means of Banach’s contraction mapping principle and ...
Zada Akbar+3 more
doaj +1 more source
Numerical treatments for the optimal control of two types variable-order COVID-19 model. [PDF]
Sweilam N+3 more
europepmc +1 more source
Existence and Stability of Fractional Differential Equations Involving Generalized Katugampola Derivative [PDF]
The existence and stability results for a class of fractional differential equations involving generalized Katugampola derivative are presented herein. Some fixed point theorems are used and enlightening examples of obtained result are also given.
arxiv
In this work, we consider a class of fuzzy fractional delay integro-differential equations with the generalized Caputo-type Atangana-Baleanu (ABC) fractional derivative.
Wang Guotao+3 more
doaj +1 more source
Predictive dynamical modeling and stability of the equilibria in a discrete fractional difference COVID-19 epidemic model. [PDF]
Chu YM+6 more
europepmc +1 more source
Stability analysis and control chaos for fractional 5D Maxwell-Bloch model [PDF]
In this paper we investigate the dynamical behavior of fractional differential system associated to 5D Maxwell-Bloch model in terms of fractional Caputo derivatives.
arxiv
This study first establishes several maximum and minimum principles involving the nonlocal Monge-Ampère operator and the multi-term time-space fractional Caputo-Fabrizio derivative.
Guan Tingting, Wang Guotao, Araci Serkan
doaj +1 more source
Extended Riemann-Liouville type fractional derivative operator with applications
The main purpose of this paper is to introduce a class of new extended forms of the beta function, Gauss hypergeometric function and Appell-Lauricella hypergeometric functions by means of the modified Bessel function of the third kind.
Agarwal P., Nieto Juan J., Luo M.-J.
doaj +1 more source
New approach to Minkowski fractional inequalities using generalized k-fractional integral operator [PDF]
In this paper, we obtain new results related to Minkowski fractional integral inequality using generalized k-fractional integral operator which is in terms of the Gauss hypergeometric function.
arxiv