Faculty of Civil Engineering

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    ABSTRACT FRACTIONAL DIFFERENTIAL INCLUSIONS WITH HILFER DERIVATIVES
    (Springer Science and Business Media LLC, 2024-11-06)
    Kostić, Marko
    ;
    Fedorov, Vladimir E.
    ;
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    Topologically mixing solutions of abstract multi-term partial fractional Cauchy problems
    (Elsevier BV, 2026-04)
    Kostić, Marko
    ;
    Koyuncuoğlu, Halis Can
    ;
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    METRICALLY ρ-ALMOST PERIODIC TYPE FUNCTIONS WITH VALUES IN LOCALLY CONVEX SPACES
    (Chelyabinsk State University, 2025-03-27)
    Kosti´c, M.
    ;
    Fedorov, V.E.
    ;
    Velinov, D.
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    Abstract Dirichlet Problem for Elliptic System on Corner Domain
    (Avanti Publishers, 2025-09-17)
    Chaouchi, Belkacem
    ;
    Kostic, Marko
    ;
    In this paper, we analyze abstract Dirichlet problem for elliptic system set on singular corner domain. We investigate the existence and uniqueness of strict solutions to the above problem using da Prato-Grisvard theory. The study is performed in the framework of little Hölder spaces.
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    MULTIDIMENSIONAL GENERALIZED LAPLACE FRACTIONAL DERIVATIVES AND APPLICATIONS
    (Springer Science and Business Media LLC, 2025-09-22)
    Kostić, Marko
    ;
    Fedorov, Vladimir E.
    ;
    Koyuncuoğlu, Halis Can
    ;
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    Almost periodic solutions for a class of neutral integro-differential equations
    (Sociedade Paranaense de Matemática, 2025-01-28)
    kostic, Marko
    ;
    In this paper, we investigate the existence and uniqueness of almost periodic mild solutions for a class of neutral integro-differential equations in Banach spaces. We essentially apply the results from the fixed point theory. At the end of paper, we present some illustrative examples to show the effectiveness of the obtained findings.
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    Abstract fractional difference inclusions
    (Steklov Mathematical Institute, 2025)
    Kostic, Marko
    ;
    Koyuncuoğlu, Halis Can
    ;
    In this paper, we consider various classes of the abstract fractional difference inclusions with Weyl fractional derivatives and Riemann–Liouville fractional derivatives. We also provide some new results about the well-posedness of abstract integer-order difference inclusions with Euler forward operators, paying a special attention to the analysis of the existence and uniqueness of almost periodic and almost automorphic type solutions to abstract fractional difference inclusions.
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    Weighted pseudo
    <i>S</i>
    -asymptotically (
    <i>ω, c</i>
    )-periodic solutions to fractional stochastic differential equations
    (Walter de Gruyter GmbH, 2025-10-01)
    Kostić, Marko
    ;
    Koyuncuoğlu, Halis Can
    ;
    In this paper, we analyze the existence and uniqueness of Stepanov-like weighted pseudo $S$-asymptotically $(\omega,c)$-periodic solutions for a class of fractional stochastic differential equations. We clarify the sufficient conditions ensuring the existence of mild solutions and explore their stability properties. The new existence and uniqueness results are provided and an illustrative example is presented to demonstrate the applicability of the established theoretical findings.
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    Square-Mean S-Asymptotically (ω,c)-Periodic Solutions to Neutral Stochastic Impulsive Equations
    (MDPI AG, 2025-11-12)
    Chaouchi, Belkacem
    ;
    Du, Wei-Shih
    ;
    Kostić, Marko
    ;
    This paper investigates the existence of square-mean S-asymptotically (𝜔,𝑐)-periodic solutions for a class of neutral impulsive stochastic differential equations driven by fractional Brownian motion, addressing the challenge of modeling long-range dependencies, delayed feedback, and abrupt changes in systems like biological networks or mechanical oscillators. By employing semigroup theory to derive mild solution representations and the Banach contraction principle, we establish sufficient conditions–such as Lipschitz continuity of nonlinear terms and growth bounds on the resolvent operator—that guarantee the uniqueness and existence of such solutions in the space 𝒮⁢𝐴⁢𝑃𝜔,𝑐⁢([0,∞),𝐿2⁡(𝛺,ℍ)). The important results demonstrate that under these assumptions, the mild solution exhibits square-mean S-asymptotic (𝜔,𝑐)-periodicity, enabling robust asymptotic analysis beyond classical periodicity. We illustrate these findings with examples, such as a neutral stochastic heat equation with impulses, revealing stability thresholds and decay rates and highlighting the framework’s utility in predicting long-term dynamics. These outcomes advance stochastic analysis by unifying neutral, impulsive, and fractional noise effects, with potential applications in control theory and engineering.