μ-pseudo almost automorphic mild solutions for two terms order fractional differential equations
نویسندگان
چکیده
منابع مشابه
Almost Automorphic Mild Solutions to Fractional Partial Difference-differential Equations
We study existence and uniqueness of almost automorphic solutions for nonlinear partial difference-differential equations modeled in abstract form as (∗) ∆u(n) = Au(n+ 1) + f(n, u(n)), n ∈ Z, for 0 < α ≤ 1 where A is the generator of a C0-semigroup defined on a Banach space X, ∆ denote fractional difference in Weyl-like sense and f satisfies Lipchitz conditions of global and local type. We intr...
متن کاملExistence of Weighted Pseudo Almost Automorphic Mild Solutions to Fractional Integro-differential Equations
In this paper, we study the existence of weighted pseudo almost automorphic mild solutions of integro-differential equations with fractional order 1 < α < 2, here A is a linear densely defined operator of sectorial type on a complex Banach space X. This paper also deals with existence of weighted pseudo almost automorphic mild solutions of semilinear integro-differential eqautions with A is the...
متن کاملWeighted pseudo almost automorphic mild solutions to semilinear fractional differential equations
By applying the Horn’s fixed point theorem, we prove the existence of T0-periodic PC-mild solution of impulsive periodic systems when PC-mild solutions are ultimate bounded.
متن کاملAlmost Automorphic Solutions to Abstract Fractional Differential Equations
Copyright q 2010 Hui-Sheng Ding et al. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited. A new and general existence and uniqueness theorem of almost automorphic solutions is obtained for the semilinear fractional differential equat...
متن کاملWeighted Pseudo Almost Automorphic and S-asymptotically Ω-periodic Solutions to Fractional Difference-differential Equations
We study weighted pseudo almost automorphic solutions for the nonlinear fractional difference equation ∆u(n) = Au(n+ 1) + f(n, u(n)), n ∈ Z, for 0 < α ≤ 1, whereA is the generator of an α-resolvent sequence {Sα(n)}n∈N0 in B(X). We prove the existence and uniqueness of a weighted pseudo almost automorphic solution assuming that f(·, ·) is weighted almost automorphic in the first variable and sat...
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: Fractional Differential Calculus
سال: 2020
ISSN: 1847-9677
DOI: 10.7153/fdc-2020-10-06