Fractional evolution inclusions are an important form of differential inclusions within
nonlinear mathematical analysis. They are generalizations of the much more widely …

In this paper we study a new class of functions, which we call (ω, c) (ω,c)-pseudo periodic
functions. This collection includes pseudo periodic, pseudo anti-periodic, pseudo Bloch …

In this paper, we study a new class of functions, which we call (ω, c)‐asymptotically periodic
functions. This collection includes asymptotically periodic, asymptotically antiperiodic …

It is well known that solutions to some equations from propagation of heat or waves in solid
state physics, such as wave functions satisfying the Schödinger equation with the potential …

In this paper, we derive some characterizations of compactness for resolvents as well as the
subordination principle associated with the compactness. As applications, we obtain the …

We propose a unified functional analytic approach to derive a variation of constants formula
for a wide class of fractional differential equations using results on (a, k)-regularized families …

Fractional calculus is a subject of great interest in many areas of mathematics, physics, and
sciences, including stochastic processes, mechanics, chemistry, and biology. We will call an …

In this paper, we firstly present some notions of Stepanov-like S-asymptotically (ω, k)-Bloch
periodic function, Stepanov-like (weighted) pseudo S-asymptotically (ω, k)-Bloch periodic …

In this paper we are concerned with the existence and uniqueness of mild solutions of some
semilinear integrodifferential equations in a Banach space. We first investigate further …

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 …