Zobrazeno 1 - 10
of 26
pro vyhledávání: '"Daniel Velinov"'
Publikováno v:
Fractal and Fractional, Vol 8, Iss 8, p 469 (2024)
In this paper, we investigate a class of non-instantaneous impulsive fractional integral equations. Utilizing the Banach contraction mapping principle, we establish the existence and uniqueness of solutions for the considered problem. Additionally, e
Externí odkaz:
https://doaj.org/article/121628d2134f4babb33a8c82c8296544
Publikováno v:
Mathematics, Vol 12, Iss 4, p 548 (2024)
This paper investigates diverse classes of multidimensional Weyl and Doss ρ-almost periodic functions in a general measure setting. This study establishes the fundamental structural properties of these generalized ρ-almost periodic functions, exten
Externí odkaz:
https://doaj.org/article/dd5167e5b6244a8a88bf326c96604f77
Publikováno v:
Mathematics, Vol 11, Iss 14, p 3086 (2023)
The paper focuses on exploring the existence and uniqueness of a specific solution to a class of Caputo impulsive fractional differential equations with boundary value conditions on Banach space, referred to as (ω,ρ)-BVP solution. The proof of the
Externí odkaz:
https://doaj.org/article/ba7e7b9cf81d46bb8cca317f7e4b6b80
Publikováno v:
Fractal and Fractional, Vol 7, Iss 5, p 410 (2023)
In this paper, we analyze the Bohr ρ-almost periodic type sequences and the generalized ρ-almost periodic type sequences of the form F:I×X→Y, where ∅≠I⊆Zn, X and Y are complex Banach spaces and ρ is a general binary relation on Y. We prov
Externí odkaz:
https://doaj.org/article/b35850204aed4d8d9ee4f05a194e4f6f
Publikováno v:
Fractal and Fractional, Vol 7, Iss 2, p 147 (2023)
In this paper, we introduce and systematically analyze the classes of (pre-)(B,ρ,(tk))-piecewise continuous almost periodic functions and (pre-)(B,ρ,(tk))-piecewise continuous uniformly recurrent functions with values in complex Banach spaces. We w
Externí odkaz:
https://doaj.org/article/7a76f3544653426283b6268151f39a0a
Publikováno v:
Fractal and Fractional, Vol 7, Iss 1, p 73 (2023)
In this work, we provide several applications of (a, k)-regularized C-resolvent families to the abstract impulsive Volterra integro-differential inclusions. The resolvent operator families under our consideration are subgenerated by multivalued linea
Externí odkaz:
https://doaj.org/article/b25bab793a84422db5e31051659f285c
Publikováno v:
Symmetry, Vol 14, Iss 9, p 1941 (2022)
In this work, we introduce the notion of a (weak) proportional Caputo fractional derivative of order α∈(0,1) for a continuous (locally integrable) function u:[0,∞)→E, where E is a complex Banach space. In our definition, we do not require that
Externí odkaz:
https://doaj.org/article/3a35258e67fd4fa88427a32f861f793a
Publikováno v:
Filomat. 37:363-385
In this paper, we introduce several various classes of (?, c)-almost periodic type functions and their Stepanov generalizations. We also consider the corresponding classes of (?, c)-almost periodic type functions depending on two variables and relate
Publikováno v:
Turkish Journal of Mathematics. 47:769-793
Publikováno v:
Geologica Macedonica. 36:165-175