Zobrazeno 1 - 10
of 26
pro vyhledávání: '"Mohammed D. Kassim"'
Publikováno v:
Arabian Journal of Mathematics, Vol 13, Iss 1, Pp 133-147 (2023)
Abstract Of concern is a Cohen–Grossberg neural network (CGNNs) system taking into account distributed and discrete delays. The class of delay kernels ensuring exponential stability existing in the previous papers is enlarged to an extended class o
Externí odkaz:
https://doaj.org/article/180c3b428fa34f778739c13fd8214a87
Autor:
Mohammed D. Kassim
Publikováno v:
AIMS Mathematics, Vol 8, Iss 11, Pp 26343-26356 (2023)
Of concern is the Hopfield neural network system comprising discrete as well as distributed delays in the form of a convolution. For a desired convergence rate of the solution to the equilibrium state, we establish sufficient conditions on the delay
Externí odkaz:
https://doaj.org/article/2d27a74b5a3f4f3b87f75c992f899689
Publikováno v:
Advances in Difference Equations, Vol 2021, Iss 1, Pp 1-20 (2021)
Abstract In this research paper, we intend to study the stability of solutions of some nonlinear initial value fractional differential problems. These equations are studied within the generalized fractional derivative of various orders. In order to s
Externí odkaz:
https://doaj.org/article/8b023e5ccb744e87bf0902d1ea026ab3
Publikováno v:
Advances in Difference Equations, Vol 2021, Iss 1, Pp 1-18 (2021)
Abstract The aim of this article is to discuss the uniqueness and Ulam–Hyers stability of solutions for a nonlinear fractional integro-differential equation involving a generalized Caputo fractional operator. The used fractional operator is generat
Externí odkaz:
https://doaj.org/article/ba930f0aea224ff0a45f8458f5360cd5
Publikováno v:
Advances in Difference Equations, Vol 2021, Iss 1, Pp 1-12 (2021)
Abstract In this paper, we deal with Caputo-type fractional differential inequality where there is a low-order fractional derivative with the term polynomial source. We investigate the nonexistence of nontrivial global solutions in a suitable space v
Externí odkaz:
https://doaj.org/article/4b54e5b15f4443538486e9e6250608aa
Publikováno v:
Journal of Function Spaces, Vol 2022 (2022)
In this article, we prove some new uniqueness and Ulam-Hyers stability results of a nonlinear generalized fractional integro-differential equation in the frame of Caputo derivative involving a new kernel in terms of another function ψ. Our approach
Externí odkaz:
https://doaj.org/article/5fca73bab69242049df2e49eb2ea5cb8
Publikováno v:
Electronic Journal of Differential Equations, Vol 2016, Iss 291,, Pp 1-14 (2016)
We study the boundedness and asymptotic behavior of solutions for a class of nonlinear fractional differential equations. These equations involve two Riemann-Liouville fractional derivatives of different orders. We determine fairly large classes o
Externí odkaz:
https://doaj.org/article/168c915cf3914a738b97bb696fc3fb71
Non-existence of global solutions for a differential equation involving Hilfer fractional derivative
Publikováno v:
Electronic Journal of Differential Equations, Vol 2013, Iss 235,, Pp 1-10 (2013)
We consider a basic fractional differential inequality with a fractional derivative named after Hilfer and a polynomial source. A non-existence of global solutions result is proved in an appropriate space and the critical exponent is shown to be o
Externí odkaz:
https://doaj.org/article/592cc144ae804bb2b4769e6f9c52e956
Publikováno v:
Mathematical Modelling and Analysis, Vol 21, Iss 5 (2016)
It is known that, under certain conditions, solutions of some ordinary differential equations of first, second or even higher order are asymptotic to polynomials as time goes to infinity. We generalize and extend some of the existing results to diffe
Externí odkaz:
https://doaj.org/article/ba32e863455340e781559ce72a0adb1c
Publikováno v:
Advances in Difference Equations, Vol 2021, Iss 1, Pp 1-18 (2021)
The aim of this article is to discuss the uniqueness and Ulam–Hyers stability of solutions for a nonlinear fractional integro-differential equation involving a generalized Caputo fractional operator. The used fractional operator is generated by ite