Results 71 to 80 of about 238,666 (228)

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

Aturan Titik Tengah \textit{Double} untuk Mengaproksimasi Integral Riemann-Stieltjes

Jurnal Matematika Integratif, 2023
Aturan titik tengah double dimodifikasi untuk mengaproksimasi integral RiemannStieltjes. Koefisien dari metode ini didapat dengan menyelesaikannya sistem persamaan nonlinear yang didapat dari penerapan fungsi monomial sampai pangkat tertentu. Selanjutnya
Rike Marjulisa, Imran M
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

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

Completion of the integrable coupling systems [PDF]

arXiv, 2017
In this paper, we proposed an procedure to construct the completion of the integrable system by adding a perturbation to the generalized matrix problem, which can be used to continuous integrable couplings, discrete integrable couplings and super integrable couplings.
arxiv  

Existence and monotone iteration of unique solution for tempered fractional differential equations Riemann–Stieltjes integral boundary value problems

, 2020
The primary objective of this research paper is to investigate two kinds of high-order tempered fractional differential equations integral boundary value problems.
Bibo Zhou, Lingling Zhang, N. Zhang, Emmanuel Addai   +3 more
semanticscholar   +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

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  

Necessary and sufficient conditions for differentiating under the integral sign [PDF]

arXiv, 2001
We give necessary and sufficient conditions for differentiating under the integral sign an integral that depends on a parameter. The conditions require the equality of two iterated integrals and depend on being able to integrate every derivative. The Henstock integral is thus used in an essential way.
arxiv