Open Access
Articles
Article ID: 2539
by S. BrittoJacob, A. Selvam
Advances in Differential Equations and Control Processes, Vol.26, No., 2022;
Fractional calculus is a dynamic research field for mathematicians, engineers and physicists. Analysis of qualitative behavior of fractional order differential equations is an advanced topic and it has significant growth due to its applications in real world problems. Study on fractional order differential equations with non-singular kernel is an emerging area in fractional calculus and it gives impressive results. This paper aims to study the Hyers-Ulam stability of nonlinear hybrid fractional order differential equation with Atangana-Baleanu-Caputo operator. From the defined hypotheses and standard fixed point theorem, the existence of solutions is obtained. Sufficient condition which ensures the Hyers-Ulam stability of the nonlinear hybrid fractional differential equation is established. An example with numerical illustration is given to support the theoretical outcomes.
Open Access
Articles
Article ID: 2540
by V. A.Baturin, V. N.Sizykh, A. V.Daneev
Advances in Differential Equations and Control Processes, Vol.26, No., 2022;
The paper proposes a second-order strong improvement method for optimal control problems with non-fixed stage time intervals. The technique of inference algorithms is based on the theory of V. F. Krotov. Conditions are given for the control to be improvable, which are closely related to the necessary and sufficient conditions for a strong local minimum.
Open Access
Articles
Article ID: 2541
by Abdelhalim Ebaid, Hind K.Al-Jeaid
Advances in Differential Equations and Control Processes, Vol.26, No., 2022;
This paper focuses on obtaining the exact solution of the functional differential equation:y'(t)= ay(t)+ by(-t) subject to the initial condition y(0) =λ.The standard series approach is applied to obtain the solution in a power series form.The convergence issue is addressed.In addition, the exact solution is established in terms of elementary functions such as hyperbolic and trigonometric functions. The exact solutions of some special cases, at particular choices of a and b, are determined.The obtained results may be introduced for the first time regarding the solution of the current problem.
Open Access
Articles
Article ID: 2542
by Jagaya Yaou, Abba MahamaneOumarou, Yahaya Nouri, Saley Bisso
Advances in Differential Equations and Control Processes, Vol.26, No., 2022;
In [1], we have constructed a model which describes transmission of malaria disease by considering mosquitoes bed net as human population control; this model was derived from Kagunda model [6]. In this paper, we study a malaria disease model transmission using mosquitoes proliferation control. We determine the disease free equilibrium state of the model and compute the basic reproduction number. Numerical simulations are performed to show the impact of using mosquitoes proliferation control in malaria disease model transmission.
Open Access
Articles
Article ID: 2543
by Smol’yakov EduardRimovich
Advances in Differential Equations and Control Processes, Vol.26, No., 2022;
It is proved mathematically the possibility of generating by the rocket itself the strong magnetic field realizing its accelerated movement with the arbitrarily large inertial overloads (without using jet thrust), and simultaneously - the weightlessness state for the crew. The possibility of such flights can be confirmed only as a result of experimental verification on humans.
Open Access
Articles
Article ID: 2544
by Adamou Otto, Morou Amidou
Advances in Differential Equations and Control Processes, Vol.26, No., 2022;
A precise characterization of a Sars-Cov 2 dynamics transmission model with vaccination is presented. All the equilibria of the model as well as their stabilities have been described by use of algebraic geometry approach. The model analysis shows that the combined use of the quarantine and treatment strategy with a vaccination strategy may lead to the effective disease control or elimination.
Open Access
Articles
Article ID: 2545
by DJIBIBE MoussaZakari, SOAMPA Bangan, TCHARIE Kokou
Advances in Differential Equations and Control Processes, Vol.26, No., 2022;
The aim of this article is to prove the uniqueness of solutions to mixed problems for pluriparabolic equations with nonlocal boundary conditions. The proofs are based on a priori estimates established in non-classical function spaces.
Open Access
Articles
Article ID: 2546
by Moheddine Imsatfia, Anouar Houmia
Advances in Differential Equations and Control Processes, Vol.26, No., 2022;
In this paper, we apply Cartan’s equivalence method to distribution of planes to give a proof of the local equivalence between two planes.
Open Access
Articles
Article ID: 2547
by AMETANA Edoh, DJIBIBE MoussaZakari, ALEDA Koulinté
Advances in Differential Equations and Control Processes, Vol.26, No., 2022;
The aim of this article is to prove uniqueness of solution to mix a fractional problem of parabolic evolution of order-two in a plate with integral boundary conditions: {Dtαv−1x∂∂x(x∂v∂x)−1x2∂2v∂y2=F(x,y,t)v(x,y,0)=φ(x,y)v(ℓ1,y,t)=∂v∂y(x,ℓ2,t)=0∫0ℓ1xv(x,y,t)dx=0∫0ℓ2v(x,y,t)dy=0. A functional analysis method is used. The proof is based on an energy inequality and on a priori estimates established in non-classical function spaces.
Prof. Dr. Ji-Huan He
Soochow University, China
Excellence in Research for Australia (ERA Journal ID: 41584)
Elektronische Zeitschriftenbibliothek (EDB-Number: 2424167-2)
Eurasian Scientific Journal Index
Scilit Database (Switzerland)
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