Results 61 to 70 of about 1,072,173 (190)

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

Positive solutions for a Caputo-type fractional differential equation with a Riemann-Stieltjes integral boundary condition

Electronic Research Archive
Haixia Li, Xin Liu
openalex   +2 more sources

Fractional integrals, derivatives and integral equations with weighted Takagi–Landsberg functions

Nonlinear Analysis, 2020
In this paper, we find fractional Riemann–Liouville derivatives for the Takagi–Landsberg functions. Moreover, we introduce their generalizations called weighted Takagi–Landsberg functions, which have arbitrary bounded coefficients in the expansion under ...
Vitalii Makogin, Yuliya Mishura
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

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

A Formal Proof Of The Riesz Representation Theorem

Journal of Formalized Reasoning, 2011
This paper presents a formal proof of the Riesz representation theorem in the PVS theorem prover. The Riemann Stieltjes integral was defined in PVS, and the theorem relies on this integral.
Anthony Narkawicz
doaj  

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

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

Existence Results for the System of Fractional‐Order Sequential Integrodifferential Equations via Liouville–Caputo Sense

Journal of Mathematics, Volume 2024, Issue 1, 2024.
We investigate the conditions for the existence and uniqueness of solutions in a nonlinear system of sequential fractional differential equations using the Liouville–Caputo type with varying orders. This system is enriched by nonlocal coupled integral boundary conditions.
Muath Awadalla, Manigandan Murugesan, Subramanian Muthaiah, Jihan Alahmadi, Dimitri Mugnai   +4 more
wiley   +1 more source

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