Differential equations with impulses arise as models of many evolving processes that are
subject to abrupt changes, such as shocks, harvesting, and natural disasters. These …

Asymptotic periodicity for some evolution equations in Banach spaces - ScienceDirect Skip
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We study S‐asymptotically ω‐periodic mild solutions of the semilinear Volterra equation
u′(t)=(a* Au)(t)+ f (t, u (t)), considered in a Banach space X, where A is the generator of an …

The presence of a self-mapping increases the difficulty in proving the existence and
uniqueness of solutions for general iterative fractional differential equations. In this article …

For linear Volterra integrodifferential equations, we characterize the uniform asymptotic
stability property of the zero solution by a property for the resolvent operator. In particular, for …

In this paper, we investigate the asymptotic stability of fractional resolvent families on
Banach spaces and ordered Banach spaces. We show that an α-times resolvent family S α …

We study the existence of pseudo S S-asymptotically ω ω-periodic mild solutions for an
abstract version of the damped wave equation u ″+ α u‴= β Δ u+ γ Δ u′+ f …

We study the initial value problem (*) u (n+ 1)− u (n)= A u (n+ 1)+∑ k= 0 n+ 1 a (n+ 1− k) A u
(k), n∈ N 0 u (0)= x, where A is closed linear operator defined on a Banach space X, x …

It is known that the solutions of the fractional Cauchy problems on Banach spaces are given
by the corresponding fractional resolvent families. To study the asymptotic behaviors of the …

We study the well-posedness of abstract time evolution fractional integro-differential
equations of variable order u (t)= u0+∂-α (t) Au (t)+ ƒ (t). Also we study the asymptotic …