Since the publication of our first book [80], there has been a real resiu-gence of interest in
the study of almost automorphic functions and their applications ([16, 17, 28, 29, 30, 31, 32 …

S-asymptotically ω-periodic solutions of semilinear fractional integro-differential equations -
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We are concerned with the semilinear differential equation in a Banach space $\mathbb {X}
$,\[x'(t)= Ax (t)+ F (t, x (t)),\;\t\in\mathbb {R},\] where $ A $ generates an exponentially stable …

We study almost automorphic (mild) solutions of the semilinear fractional equation∂ tαu=
Au+∂ tα− 1f (⋅, u), 1< α< 2, considered in a Banach space X, where A is a linear operator of …

Research Article On Type of Periodicity and Ergodicity to a Class of Fractional Order Differential
Equations Page 1 Hindawi Publishing Corporation Advances in Difference Equations Volume …

Motivated by the recent works by the first and the second named authors, in this paper we
introduce the notion of doubly-weighted pseudo-almost periodicity (respectively, doubly …

This paper is concerned with the pseudo almost periodic solutions to the abstract differential
equations of the form: where A, B are densely defined closed linear operators acting in a …

We study the existence and uniqueness of bounded solutions for the semilinear fractional
differential equation D^ α u (t)= Au (t)+-∞^ ta (ts) Au (s) ds+ f\bigl (t, u (t)\bigr),\quad t ∈ R …

This article is concerned with the existence and uniqueness of an almost automorphic
solution to the semilinear equation where is the infinitesimal generator of an exponentially …

In this paper, we investigate the existence and uniqueness of the S-asymptotically ω-
periodic mild solutions to a class of multi-term time-fractional measure differential equations …