Results 71 to 80 of about 1,287,523 (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

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  

Automatic Integration [PDF]

arXiv, 2020
The purpose of this paper is to introduce the concept of the automatic integration and present a new way of approximating definite integrals using the automatic integration based on an associative algebra with zero divisors.
arxiv  

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

Generalizing the Black and Scholes Equation Assuming Differentiable Noise

Journal of Applied Mathematics, Volume 2024, Issue 1, 2024.
This article develops probability equations for an asset value through time, assuming continuous correlated differentiable Gaussian distributed noise. Ito’s (1944) stochastic integral and a generalized Novikov’s (1919) theorem are used. As an example, the mathematical model is used to generalize the Black and Scholes’ (1973) equation for pricing ...
Kjell Hausken, John F. Moxnes, Fernando Simoes   +2 more
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