Zobrazeno 1 - 10
of 62
pro vyhledávání: '"Velusamy Vijayakumar"'
Publikováno v:
Boundary Value Problems, Vol 2023, Iss 1, Pp 1-35 (2023)
Abstract We introduce a notion of nonlinear cyclic orbital ( ξ − F ) $(\xi -\mathscr{F})$ -contraction and prove related results. With these results, we address the existence and uniqueness results with periodic/anti-periodic boundary conditions f
Externí odkaz:
https://doaj.org/article/3404cd24f3f44617a178a150d97f460e
Publikováno v:
Fractal and Fractional, Vol 8, Iss 7, p 410 (2024)
The novelty of this work is that it is the first to introduce complex-valued suprametric spaces and apply it to Fractal Generation and mixed Volterra–Fredholm Integral Equations. In the realm of fuzzy logic, complex-valued suprametric spaces provid
Externí odkaz:
https://doaj.org/article/4c2701b3e291430caa54bb1891dd620d
Autor:
Marimuthu Mohan Raja, Velusamy Vijayakumar, Anurag Shukla, Kottakkaran Sooppy Nisar, Wedad Albalawi, Abdel-Haleem Abdel-Aty
Publikováno v:
AIMS Mathematics, Vol 8, Iss 5, Pp 10802-10821 (2023)
In this article, we look into the important requirements for exact controllability of fractional impulsive differential systems of order 1
Externí odkaz:
https://doaj.org/article/bb75b1be784f4b59914ec05ee145405e
Autor:
Marimuthu Mohan Raja, Velusamy Vijayakumar, Juan J. Nieto, Sumati Kumari Panda, Anurag Shukla, Kottakkaran Sooppy Nisar
Publikováno v:
Nonlinear Analysis, Vol 28, Iss 6 (2023)
In this paper, we investigate the effect of hemivariational inequalities on the approximate controllability of Caputo fractional differential systems. The main results of this study are tested by using multivalued maps, sectorial operators of type (P
Externí odkaz:
https://doaj.org/article/d5464a87cc1c49abad0a3d59448d8ea3
Publikováno v:
Results in Physics, Vol 51, Iss , Pp 106612- (2023)
Many researchers are interested in the existence theory of solutions to fractional differential equations. In the literature, existence results have been obtained by using a variety of fixed point problems, including the fixed-point problems of Lefsc
Externí odkaz:
https://doaj.org/article/ab921323e6f84dc7b36c0c1143ab0ba9
Autor:
Murugesan Johnson, Krishnan Kavitha, Dimplekumar Chalishajar, Muslim Malik, Velusamy Vijayakumar, Anurag Shukla
Publikováno v:
Nonlinear Analysis, Vol 28 (2023)
This study focused on the approximate controllability results for the Hilfer fractional delay evolution equations of the Sobolev type without uniqueness. Initially, the Lipschitz condition is derived from the hypothesis, which is represented by a mea
Externí odkaz:
https://doaj.org/article/c46901d8433e4701901f571f91aebcc6
Autor:
Murugesan Johnson, Marimuthu Mohan Raja, Velusamy Vijayakumar, Anurag Shukla, Kottakkaran Sooppy Nisar, Hadi Jahanshahi
Publikováno v:
Nonlinear Analysis, Vol 28, Iss 2 (2023)
This research investigates the existence of nonlocal impulsive fractional integrodifferential equations of order 1 < r < 2 with infinite delay. To begin with, we discuss the existence of a mild solution for the fractional derivatives by using the sec
Externí odkaz:
https://doaj.org/article/d9885b2db42143c4966dfc7b27d74158
Publikováno v:
Journal of Inequalities and Applications, Vol 2022, Iss 1, Pp 1-26 (2022)
Abstract This paper is devoted to studying the approximate controllability for second-order impulsive differential inclusions with infinite delay. For proving the main results, we use the results related to the cosine and sine function of operators,
Externí odkaz:
https://doaj.org/article/422dc5221333492488d19f580c93c0bc
Autor:
Krishnan Kavitha, Velusamy Vijayakumar, Kottakkaran Sooppy Nisar, Anurag Shukla, Wedad Albalawi, Abdel-Haleem Abdel-Aty
Publikováno v:
AIMS Mathematics, Vol 7, Iss 7, Pp 12760-12780 (2022)
This paper deals with the existence and approximate controllability outcomes for Hilfer fractional neutral evolution equations. To begin, we explore existence outcomes using fractional computations and Banach contraction fixed point theorem. In addit
Externí odkaz:
https://doaj.org/article/dfaf7cc52d04462ca1aca37680a26d33
Autor:
Amjad Hussain, Muhammad Khubaib Zia, Kottakkaran Sooppy Nisar, Velusamy Vijayakumar, Ilyas Khan
Publikováno v:
AIMS Mathematics, Vol 7, Iss 7, Pp 13139-13168 (2022)
In this article, the generalized $ \left(N+1\right) $-dimensional nonlinear Boussinesq equation is analyzed via Lie symmetry method. Lie point symmetries of the considered equation and accompanying invariant groups are computed. After transforming th
Externí odkaz:
https://doaj.org/article/c2f52b3d000e4f5cac942b8929087097