On Hybrid Type Nonlinear Fractional Integrodifferential Equations
نویسندگان
چکیده
منابع مشابه
Nonlinear Neutral Integrodifferential Equations on Unbounded Intervals
Abstract In this paper we prove the existence of solutions for a boundary value nonlinear neutral integrodifferential problem in Rn defined on an unbounded interval. The result is obtained by using the Schaefer fixed point theorem and by using a recent result [4] on compactness of a continuous operator K : BC(I,Rn) → BC(I,Rn); here BC(I,Rn) is the Banach space of continuous functions from the (...
متن کاملNonlinear Integrodifferential Equations of Mixed Type in Banach Spaces
We prove two existence theorems for the integrodifferential equation of mixed type: x′(t) = f (t,x(t), t0k1(t,s)g(s,x(s))ds, ∫ a 0k2(t,s)h(s,x(s))ds), x(0) = x0, where in the first part of this paper f , g, h, x are functions with values in a Banach space E and integrals are taken in the sense of Henstock-Kurzweil (HK). In the second part f , g, h, x are weakly-weakly sequentially continuous fu...
متن کاملApproximate Controllability of Fractional Integrodifferential Evolution Equations
This paper addresses the issue of approximate controllability for a class of control systemwhich is represented bynonlinear fractional integrodifferential equations with nonlocal conditions. By using semigroup theory, p-mean continuity and fractional calculations, a set of sufficient conditions, are formulated and proved for the nonlinear fractional control systems. More precisely, the results ...
متن کاملControllability of nonlinear implicit fractional integrodifferential systems
Integrodifferential equations arise in many fields of science and engineering such as fluid dynamics, biological models, and chemical kinetics. A detailed investigation of integrodifferential equations and their solution via the Laplace transform method can be found in the work of Burton (1983). Recently, fractional integrodifferential equations have been used to model various physical phenomen...
متن کاملLyapunov stability solutions of fractional integrodifferential equations
Lyapunov stability and asymptotic stability conditions for the solutions of the fractional integrodiffrential equations x (α) (t) = f (t, x(t)) + t t 0 K(t, s, x(s))ds, 0 < α ≤ 1, with the initial condition x (α−1) (t 0) = x 0 , have been investigated. Our methods are applications of Gronwall's lemma and Schwartz inequality.
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: Mathematics
سال: 2020
ISSN: 2227-7390
DOI: 10.3390/math8060984