Convergence of solutions for perturbed and unperturbed cobweb models with generalized Caputo derivative
نویسندگان
چکیده
Abstract In this paper, continuous cobweb models with a generalized Caputo derivative called Caputo–Katugampola are investigated for both supply and demand functions their perturbations. The convergence of each solution in the perturbed unperturbed cases to single equilibrium is proved. Moreover, some numerical experiments provided validate theoretical results.
منابع مشابه
Generalized natural boundary conditions for fractional variational problems in terms of the Caputo derivative
This paper presents necessary and sufficient optimality conditions for problems of the fractional calculus of variations with a Lagrangian depending on the free end-points. The fractional derivatives are defined in the sense of Caputo.
متن کاملAsymptotical Stability of Nonlinear Fractional Differential System with Caputo Derivative
This paper deals with the stability of nonlinear fractional differential systems equipped with the Caputo derivative. At first, a sufficient condition on asymptotical stability is established by using a Lyapunov-like function. Then, the fractional differential inequalities and comparison method are applied to the analysis of the stability of fractional differential systems. In addition, some ot...
متن کاملOnmemo-viability of fractional equations with the Caputo derivative
*Correspondence: [email protected] Department of Mathematics, Faculty of Computer Science, Bialystok University of Technology, Wiejska 45A, Białystok, 15-351, Poland Abstract In this paper viability results for nonlinear fractional differential equations with the Caputo derivative are proved. We give a necessary condition for fractional viability of a locally closed set with respect to a nonli...
متن کاملFractional Hamilton formalism within Caputo ’ s derivative
In this paper we develop a fractional Hamiltonian formulation for dynamic systems defined in terms of fractional Caputo derivatives. Expressions for fractional canonical momenta and fractional canoni-cal Hamiltonian are given, and a set of fractional Hamiltonian equations are obtained. Using an example, it is shown that the canonical fractional Hamiltonian and the fractional Euler-Lagrange form...
متن کاملFractional variational problems with the Riesz-Caputo derivative
In this paper we investigate optimality conditions for fractional variational problems, with a Lagrangian depending on the Riesz-Caputo derivative. First we prove a generalized Euler-Lagrange equation for the case when the interval of integration of the functional is different from the interval of the fractional derivative. Next we consider integral dynamic constraints on the problem, for sever...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Boundary Value Problems
سال: 2022
ISSN: ['1687-2770', '1687-2762']
DOI: https://doi.org/10.1186/s13661-022-01671-5