Results 121 to 130 of about 456 (156)

Multivalued nonlinear dominated mappings on a closed ball and associated numerical illustrations with applications to nonlinear integral and fractional operators. [PDF]

Heliyon
Rasham T, Panda SK, Basendwah GA, Hussain A.   +3 more
europepmc   +1 more source

Solvability and Ulam–Hyers–Rassias stability in fractional integrodifferential equations involving mixed nonlocal conditions

Boundary Value Problems
Abdulrahman Sharif, Maha M. Hamood, Kirtiwant P. Ghadle   +2 more
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Ulam–Hyers and Ulam–Hyers–Rassias stability of second-order nonlinear quantum difference equations

Journal of Mathematics and Computer Science
A. E. Hamza, Maryam A. Alghamdi, Nouf M. ALgohni   +2 more
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Ulam‐Hyers‐Rassias stability for generalized fractional differential equations

Mathematical Methods in the Applied Sciences, 2021
In this paper, we present a generalized Gronwall inequality with singularity. Using this inequality, we investigate the existence, uniqueness, and Ulam‐Hyers‐Rassias stability for solutions of a class of generalized nonlinear fractional differential equations of order α (1 < α < 2). In this way, we improve and generalize several earlier outcomes.
Djalal Boucenna, Abdellatif Ben Makhlouf, El‐sayed El‐hady, Mohamed Ali Hammami   +3 more
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A class of impulsive nonautonomous differential equations and Ulam–Hyers–Rassias stability

Mathematical Methods in the Applied Sciences, 2014
In this paper, we study a model described by a class of impulsive nonautonomous differential equations. This new impulsive model is more suitable to show dynamics of evolution processes in pharmacotherapy than the classical one. We apply Krasnoselskii's fixed point theorem to obtain existence of solutions.
Wang, JinRong, Lin, Zeng
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On the $$\beta $$ β -Ulam–Hyers–Rassias stability of nonautonomous impulsive evolution equations

Journal of Applied Mathematics and Computing, 2014
This paper deals with the \(\beta\)-Ulam-Hyers-Rassias stability of nonautonomous impulsive evolution equations. Firstly, the concept of this stability is given and some existence results of nonautonomous impulsive evolution equations are obtained on a compact interval and an unbounded interval.
Yu, Xiulan, Wang, Jinrong, Zhang, Yuruo
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Ulam–Hyers–Rassias Mittag–Leffler stability for the Darboux problem for partial fractional differential equations

Rocky Mountain Journal of Mathematics, 2021
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Makhlouf, Abdellatif Ben, Boucenna, Djalal   +1 more
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Ulam–Hyers–Rassias stability problem for several kinds of mappings

Afrika Matematika, 2012
Let \(f\) maps a (topological) vector space into a Banach space and let \(\alpha,\beta\) be given scalars. The stability of functional equations of the form \[ f(\alpha(x+y))+f(\beta(x-y))=(\alpha+\beta)f(x)+(\alpha-\beta)f(y) \] is considered.
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On Ulam–Hyers–Rassias stability of the boundary value problem of Hadamard fractional differential equations of variable order

Afrika Matematika, 2022
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Bouazza, Zoubida, Souid, Mohammed Said, Rakočević, Vladimir   +2 more
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