Results 61 to 70 of about 306,804 (149)

Finite Difference Method for Infection Model of HPV with Cervical Cancer under Caputo Operator

Discrete Dynamics in Nature and Society, Volume 2024, Issue 1, 2024.
In this paper, a fractional model in the Caputo sense is used to characterize the dynamics of HPV with cervical cancer. Generalized mean value theorem has been used to examine whether the infection model has a unique positive solution. The model has two equilibrium points: the disease‐free point and the endemic point.
Bushra Bajjah, Mahmut Modanli, Francisco R. Villatoro   +2 more
wiley   +1 more source

Controllability results to non-instantaneous impulsive with infinite delay for generalized fractional differential equations

Alexandria Engineering Journal, 2023
This paper discusses controllability results for active types with infinite-time delay of non-instantaneous impulsive fractional differential equations.
Ahmed Salem, Sanaa Abdullah
doaj  

Existence of Positive Solutions for a Nonlinear Iterative System of Boundary Value Problems with Tempered Fractional Order Derivative

Journal of Mathematics, Volume 2024, Issue 1, 2024.
This paper investigates the existence of positive solutions for an iterative system of nonlinear two‐point tempered fractional boundary value problem. Utilizing Krasnoselskii’s fixed point theorem in a cone, we establish criteria for the existence of positive solutions.
Sabbavarapu Nageswara Rao, Mahammad Khuddush, Abdullah Ali H. Ahmadini, Çetin Yildiz   +3 more
wiley   +1 more source

New generalized Pólya–Szegö and Čebyšev type inequalities with general kernel and measure

Advances in Difference Equations, 2020
It is always attractive and motivating to acquire the generalizations of known results. In this article, we introduce a new class C ( h ) $\mathfrak{C(h)}$ of functions which can be represented in a form of integral transforms involving general kernel ...
S. Iqbal, M. Samraiz, Thabet Abdeljawad, Kottakkaran Sooppy Nisar, G. Rahman, M. Adil Khan   +5 more
doaj   +1 more source

A Comprehensive Review on the Fejér-Type Inequality Pertaining to Fractional Integral Operators

Axioms, 2023
A review of the results on the fractional Fejér-type inequalities, associated with different families of convexities and different kinds of fractional integrals, is presented.
Muhammad Tariq, Sotiris K. Ntouyas, Asif Ali Shaikh   +2 more
doaj   +1 more source

Fractional Pseudospectral Schemes With Applications to Fractional Optimal Control Problems

Journal of Mathematics, Volume 2024, Issue 1, 2024.
This research endeavors to introduce novel fractional pseudospectral methodologies tailored for addressing fractional optimal control problems encompassing inequality constraints and boundary conditions. Leveraging fractional Lagrange interpolation functions, we formulate differential and integral pseudospectral matrices pivotal in discretizing ...
M. Sahabi, A. Yazdani Cherati, Xian-Ming Gu   +2 more
wiley   +1 more source

Ostrowski-Type Fractional Integral Inequalities: A Survey

Foundations, 2023
This paper presents an extensive review of some recent results on fractional Ostrowski-type inequalities associated with a variety of convexities and different kinds of fractional integrals.
Muhammad Tariq, Sotiris K. Ntouyas, Bashir Ahmad   +2 more
doaj   +1 more source

On Hilfer generalized proportional fractional derivative

Advances in Difference Equations, 2020
Motivated by the Hilfer and the Hilfer–Katugampola fractional derivative, we introduce in this paper a new Hilfer generalized proportional fractional derivative, which unifies the Riemann–Liouville and Caputo generalized proportional fractional ...
Idris Ahmed, Poom Kumam, Fahd Jarad, Piyachat Borisut, Wachirapong Jirakitpuwapat   +4 more
doaj   +1 more source

Fractional version of Ostrowski-type inequalities for strongly p-convex stochastic processes via a k-fractional Hilfer–Katugampola derivative

Journal of Inequalities and Applications, 2023
In the present research, we introduce the notion of convex stochastic processes namely; strongly p-convex stochastic processes. We establish a generalized version of Ostrowski-type integral inequalities for strongly p-convex stochastic processes in the ...
Hengxiao Qi, Muhammad Shoaib Saleem, Imran Ahmed, Sana Sajid, Waqas Nazeer   +4 more
doaj   +1 more source

The analytical solution of Van der Pol and Lienard differential equations within conformable fractional operator by retarded integral inequalities

Demonstratio Mathematica, 2019
In this study we introduced and tested retarded conformable fractional integral inequalities utilizing non-integer order derivatives and integrals. In line with this purpose, we used the Katugampola type conformable fractional calculus which has several ...
Usta Fuat, Sarıkaya Mehmet Zeki
doaj   +1 more source