Results 81 to 90 of about 1,119,897 (215)

Local existence–uniqueness and monotone iterative approximation of positive solutions for p-Laplacian differential equations involving tempered fractional derivatives

Journal of Inequalities and Applications, 2021
In this paper, we are concerned with a kind of tempered fractional differential equation Riemann–Stieltjes integral boundary value problems with p-Laplacian operators.
Bibo Zhou, Lingling Zhang
doaj   +1 more source

Probabilistic analysis of a class of compartmental models formulated by random differential equations

Mathematical Methods in the Applied Sciences, Volume 47, Issue 12, Page 9493-9523, August 2024.
This paper deals with the probabilistic analysis of a class of compartmental models formulated via a system of linear differential equations with time‐dependent non‐homogeneous terms. For the sake of generality, we assume that initial conditions and rates between compartments are random variables with arbitrary distributions while the source terms ...
Vicente J. Bevia, Juan Carlos Cortés, Cristina Luisovna Pérez, Rafael‐Jacinto Villanueva   +3 more
wiley   +1 more source

On a lack of stability of parametrized BV solutions to rate‐independent systems with nonconvex energies and discontinuous loads

ZAMM - Journal of Applied Mathematics and Mechanics / Zeitschrift für Angewandte Mathematik und Mechanik, Volume 104, Issue 7, July 2024.
Abstract We consider a rate‐independent system with nonconvex energy under discontinuous external loading. The underlying space is finite‐dimensional and the loads are functions in BV([0,T];Rd)$BV([0,T];\mathbb {R}^d)$. We investigate the stability of various solution concepts w.r.t.
Merlin Andreia, Christian Meyer
wiley   +1 more source

Nontrivial Solution of Fractional Differential System Involving Riemann-Stieltjes Integral Condition

Abstract and Applied Analysis, 2012
We study the existence and uniqueness of nontrivial solutions for a class of fractional differential system involving the Riemann-Stieltjes integral condition, by using the Leray-Schauder nonlinear alternative and the Banach contraction mapping principle,
Ge-Feng Yang
doaj   +1 more source

Asymptotic behavior of third order functional dynamic equations with $\gamma$-Laplacian and nonlinearities given by Riemann-Stieltjes integrals

Electronic Journal of Qualitative Theory of Differential Equations, 2014
In this paper, we study the third-order functional dynamic equations with $ \gamma$-Laplacian and nonlinearities given by Riemann-Stieltjes integrals \begin{equation*} \left\{ r_{2}\left( t\right) \phi _{\gamma _{2}}\left( \left[ r_{1}\left( t\right ...
Taher Hassan, Qingkai Kong
doaj   +1 more source

The Eigenvalue Problem for Caputo Type Fractional Differential Equation with Riemann-Stieltjes Integral Boundary Conditions

Journal of Function Spaces, 2018
In this paper, we investigate the eigenvalue problem for Caputo fractional differential equation with Riemann-Stieltjes integral boundary conditions Dc0+θp(y)+μf(t,p(y))=0, y∈[0,1], p(0)=p′′(0)=0, p(1)=∫01p(y)dA(y), where Dc0+θ is Caputo fractional ...
Wenjie Ma, Yujun Cui
semanticscholar   +1 more source

Existence and uniqueness of solution for fractional differential equations with integral boundary conditions and the Adomian decomposition method

Mathematical Methods in the Applied Sciences, Volume 47, Issue 5, Page 3582-3595, 30 March 2024.
We propose an Adomian decomposition method to solve a class of nonlinear differential equations of fractional‐order with modified Caputo derivatives and integral boundary conditions. Our approach uses the integral boundary conditions to derive an equivalent nonlinear Volterra integral equation before establishing existence and uniqueness of solution ...
Om Kalthoum Wanassi, Rim Bourguiba, Delfim F. M. Torres   +2 more
wiley   +1 more source

Tempered distributions with translation bounded measure as Fourier transform and the generalized Eberlein decomposition

Mathematische Nachrichten, Volume 297, Issue 2, Page 716-740, February 2024.
Abstract In this paper, we study the class of tempered distributions whose Fourier transform is a translation bounded measure and show that each such distribution in Rd${\mathbb {R}}^d$ has order at most 2d. We show the existence of the generalized Eberlein decomposition within this class of distributions, and its compatibility with all previous ...
Timo Spindeler, Nicolae Strungaru
wiley   +1 more source

The Exact Iterative Solution of Fractional Differential Equation with Nonlocal Boundary Value Conditions

Journal of Function Spaces, 2018
We deal with a singular nonlocal fractional differential equation with Riemann-Stieltjes integral conditions. The exact iterative solution is established under the iterative technique. The iterative sequences have been proved to converge uniformly to the
Jinxiu Mao, Zengqin Zhao, Chenguang Wang
doaj   +1 more source

Frequently Hypercyclic Semigroup Generated by Some Partial Differential Equations with Delay Operator

Abstract and Applied Analysis, Volume 2024, Issue 1, 2024.
In this paper, under appropriate hypotheses, we have the existence of a solution semigroup of partial differential equations with delay operator. These equations are used to describe time–age‐structured cell cycle model. We also prove that the solution semigroup is a frequently hypercyclic semigroup.
Cheng-Hung Hung, Victor Kovtunenko
wiley   +1 more source