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Marko Kostic
University lecturer
Novi Sad, Serbia
Public Documents
3
Multi-dimensional Besicovitch almost periodic type functions and applications
Marko Kostic
March 31, 2022
In this paper, we analyze multi-dimensional Besicovitch almost periodic type functions. We clarify the main structural properties for the introduced classes of Besicovitch almost periodic type functions, explore the notion of Besicovitch-Doss almost periodicity in the multi-dimensional setting, and provide some applications of our results to the abstract Volterra integro-differential equations and the partial differential equations.
On the solvability of time conformable fractional equation set on singular domain of...
chaouchi belkacem
and 2 more
March 30, 2022
In this paper, we investigate the solvability of time conformable fractional equation set in a singular cylindrical domain in R^{N+1}. Some regularity results are obtained for the classical solutions by using the Dunford operational calculus
Stepanov pseudo almost periodic functions and applications
Kamal Khalil
and 2 more
November 10, 2020
In this work, we present basic results and applications of Stepanov pseudo almost periodic functions with measure. Using only the continuity assumption, we prove a new composition result of $\mu$-pseudo almost periodic functions in Stepanov sense. Moreover, we present different applications to semilinear differential equations and inclusions in Banach spaces with weak regular forcing terms. We prove the existence and uniqueness of $\mu$-pseudo almost periodic solutions (in the strong sense) to a class of semilinear fractional inclusions and semilinear evolution equations, respectively, provided that the nonlinear forcing terms are only Stepanov $ \mu $-pseudo almost periodic in the first variable and not a uniformly strict contraction with respect to the second argument. Some examples illustrating our theoretical results are also presented.