Results 101 to 110 of about 3,088,117 (225)

Nonlinear analysis for Hilfer fractional differential equations

open access: yesFranklin Open
In this paper, we discuss nonlinear Hilfer fractional differential equations with separated boundary conditions. Using the well-known Leggett–Williams theorem, we first explore the existence of multiple positive solutions for the nonlinear Hilfer ...
Debananda Basua, Swaroop Nandan Bora
doaj   +1 more source

Note on the solution of random differential equations via ψ-Hilfer fractional derivative

open access: yesAdvances in Difference Equations, 2018
This manuscript is devoted to an investigation of the existence, uniqueness and stability of random differential equations with ψ-Hilfer fractional derivative.
S. Harikrishnan   +3 more
doaj   +1 more source

Semi-Hyers–Ulam–Rassias Stability of the Convection Partial Differential Equation via Laplace Transform

open access: yesMathematics, 2021
In this paper, we study the semi-Hyers–Ulam–Rassias stability and the generalized semi-Hyers–Ulam–Rassias stability of some partial differential equations using Laplace transform. One of them is the convection partial differential equation.
Daniela Marian
doaj   +1 more source

Bifurcations of discrete breathers in a diatomic Fermi-Pasta-Ulam chain

open access: yes, 2007
Discrete breathers are time-periodic, spatially localized solutions of the equations of motion for a system of classical degrees of freedom interacting on a lattice. Such solutions are investigated for a diatomic Fermi-Pasta-Ulam chain, i. e., a chain of
Aubry S   +15 more
core   +3 more sources

Beyond Conventional Cooling: Advanced Micro/Nanostructures for Managing Extreme Heat Flux

open access: yesAdvanced Materials, Volume 38, Issue 5, 22 January 2026.
This review examines the design, application, and manufacturing of biomimetic or engineered micro/nanostructures for managing high heat‐flux in multi‐level electronics by enhancing conductive, convective, phase‐changing, and radiative heat transfer mechanisms, highlighting their potential for efficient, targeted thermal management, and future prospects.
Yuankun Zhang   +7 more
wiley   +1 more source

Ulam Stability in Real Inner-Product Spaces

open access: yesConstructive Mathematical Analysis, 2020
Roughly speaking an equation is called Ulam stable if near each approximate solution of the equation there exists an exact solution. In this paper we prove that Cauchy-Schwarz equation, Ortogonality equation and Gram equation are Ulam stable.This paper is concerned with the Ulam stability of some classical equations arising in thecontext of inner ...
MOSNEGUTU, Bianca, MǍDUTǍ, Alexandra
openaire   +4 more sources

Ulam‐type stability of ψ− Hilfer fractional‐order integro‐differential equations with multiple variable delays

open access: yesAsian Journal of Control, Volume 28, Issue 1, Page 34-45, January 2026.
Abstract We study a nonlinear ψ−$$ \psi - $$ Hilfer fractional‐order delay integro‐differential equation ( ψ−$$ \psi - $$ Hilfer FrODIDE) that incorporates N−$$ N- $$ multiple variable time delays. Utilizing the ψ−$$ \psi - $$ Hilfer fractional derivative ( ψ−$$ \psi - $$ Hilfer‐FrD), we investigate the Ulam–Hyers––Rassias (U–H–R), semi‐Ulam–Hyers ...
Cemil Tunç, Osman Tunç
wiley   +1 more source

Randomly sparsified Richardson iteration: A dimension‐independent sparse linear solver

open access: yesCommunications on Pure and Applied Mathematics, Volume 79, Issue 1, Page 89-122, January 2026.
Abstract Recently, a class of algorithms combining classical fixed‐point iterations with repeated random sparsification of approximate solution vectors has been successfully applied to eigenproblems with matrices as large as 10108×10108$10^{108} \times 10^{108}$. So far, a complete mathematical explanation for this success has proven elusive.
Jonathan Weare, Robert J. Webber
wiley   +1 more source

Stability analysis of implicit fractional differential equations with anti-periodic integral boundary value problem

open access: yesAnnales Universitatis Paedagogicae Cracoviensis: Studia Mathematica, 2019
In this manuscript, we study the existence, uniqueness and various kinds of Ulam stability including Ulam-Hyers stability, generalized Ulam-Hyers stability, Ulam-Hyers-Rassias stability, and generalized Ulam-Hyers-Rassias stability of the solution to an ...
Akbar Zada, Hira Waheed
doaj  

Hyers–Ulam stability of derivations and linear functions [PDF]

open access: yesAequationes mathematicae, 2010
9 pages; published in Aequationes Mathematicae in ...
Boros, Zoltán, Gselmann, Eszter
openaire   +3 more sources

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