Zobrazeno 1 - 10
of 64
pro vyhledávání: '"Ioan‐Lucian Popa"'
Publikováno v:
Boundary Value Problems, Vol 2024, Iss 1, Pp 1-25 (2024)
Abstract The primary objective of this manuscript is to investigate the existence and uniqueness of solutions for the Langevin ( k , φ ) $(\mathtt{k},\varphi )$ -Hilfer fractional differential equation of different orders with multipoint nonlocal fr
Externí odkaz:
https://doaj.org/article/d0fdf8385f5a4ad49e8127ad23d651a6
Publikováno v:
AIMS Mathematics, Vol 9, Iss 4, Pp 8148-8173 (2024)
In this article, with the help of Laplace transform, the existence of solution was established in a finite dimensional setting for nonlinear $ \psi $-Hilfer fractional stochastic equation with both retarded and advanced arguments driven by multiplica
Externí odkaz:
https://doaj.org/article/7a239bc502cc4bf7b5746fd3fbb35dff
Publikováno v:
Boundary Value Problems, Vol 2024, Iss 1, Pp 1-29 (2024)
Abstract In this work, we analyze a q-fractional jerk problem having anti-periodic boundary conditions. The focus is on investigating whether a unique solution exists and remains stable under specific conditions. To prove the uniqueness of the soluti
Externí odkaz:
https://doaj.org/article/c3cba1f652ef49eb93aa00c4e039a3ea
Autor:
Vasile Dragan, Ioan-Lucian Popa
Publikováno v:
Symmetry, Vol 16, Iss 9, p 1170 (2024)
This paper focuses on addressing the linear quadratic (LQ) optimal control problem on an infinite time horizon for stochastic systems controlled by impulses. No constraint regarding the sign of the quadratic functional is applied. That is why our fir
Externí odkaz:
https://doaj.org/article/6d3740c8983645819ec492080709f924
Publikováno v:
AIMS Mathematics, Vol 8, Iss 12, Pp 28413-28434 (2023)
In this article, we analyze the existence and uniqueness of mild solution to the Stieltjes integral boundary value problem involving a nonlinear multi-term, Caputo-type sequential fractional integro-differential equation. Krasnoselskii's fixed-point
Externí odkaz:
https://doaj.org/article/1f480512d3414f9bb66cd3ba0227449e
Publikováno v:
Fractal and Fractional, Vol 7, Iss 12, p 837 (2023)
In this paper, the existence of a unique solution is established for a coupled system of Langevin fractional problems of ψ-Caputo fractional derivatives with generalized slit-strip-type integral boundary conditions and impulses using the Banach cont
Externí odkaz:
https://doaj.org/article/faeb77bfff884c1a82d40a5d7d4b70c6
Autor:
Mehboob Alam, Akbar Zada, Ioan-Lucian Popa, Alireza Kheiryan, Shahram Rezapour, Mohammed K. A. Kaabar
Publikováno v:
Boundary Value Problems, Vol 2021, Iss 1, Pp 1-18 (2021)
Abstract In this work, we investigate the existence, uniqueness, and stability of fractional differential equation with multi-point integral boundary conditions involving the Caputo fractional derivative. By utilizing the Laplace transform technique,
Externí odkaz:
https://doaj.org/article/597971c17b984c51be8f97028d67dded
Publikováno v:
Mathematics, Vol 11, Iss 5, p 1244 (2023)
Horadam sequence is a general recurrence of second order in the complex plane, depending on four complex parameters (two initial values and two recurrence coefficients). These sequences have been investigated over more than 60 years, but new properti
Externí odkaz:
https://doaj.org/article/eeaf3bd8a76a4831a91455a72489795a
Publikováno v:
Advances in Difference Equations, Vol 2020, Iss 1, Pp 1-50 (2020)
Abstract This paper is concerned with a class of impulsive implicit fractional integrodifferential equations having the boundary value problem with mixed Riemann–Liouville fractional integral boundary conditions. We establish some existence and uni
Externí odkaz:
https://doaj.org/article/5220ae81e1bf4c268a99ce9f289ce056
Publikováno v:
Axioms, Vol 12, Iss 1, p 76 (2023)
In this paper, we solve a stochastic linear quadratic tracking problem. The controlled dynamical system is modeled by a system of linear Itô differential equations subject to jump Markov perturbations. We consider the case when there are two decisio
Externí odkaz:
https://doaj.org/article/0135bcdec2b340c2931b6c0eea0ca5f7