Weighted pseudo almost automorphic mild solutions to semilinear fractional differential equations

نویسندگان
چکیده

برای دانلود باید عضویت طلایی داشته باشید

برای دانلود متن کامل این مقاله و بیش از 32 میلیون مقاله دیگر ابتدا ثبت نام کنید

اگر عضو سایت هستید لطفا وارد حساب کاربری خود شوید

منابع مشابه

Weighted 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 کامل

Existence 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 کامل

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 کامل

Weighted Pseudo Almost Automorphic Solutions to Non- autonomous Semilinear Differential Equations

We consider the existence and uniqueness of Weighted Pseudo almost automorphic solutions to the non-autonomous semilinear differential equation in a Banach space X : ( ) = ( ) ( ) ( , ( )), ' u t A t u t f t u t t R where ( ), , A t t R generates an exponentially stable evolution family { ( , )} U t s and : f X X R satisfies a Lipschitz condition with respect to the second argument. MSC 2010: 4...

متن کامل

Weighted 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 کامل

ذخیره 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: Computers & Mathematics with Applications

سال: 2012

ISSN: 0898-1221

DOI: 10.1016/j.camwa.2012.02.039