Results 61 to 70 of about 7,475 (192)

Sharp Bounds for the Deviation of a Function from the Chord Generated by its Extremities and Applications [PDF]

, 2007
Sharp bounds for the deviation of a real-valued function f defined on a compact interval [a, b] to the chord generated by its end points (a, f (a)) and (b, f (b)) under various assumptions for f and f' including absolute continuity, convexity, bounded
Dragomir, Sever S
core  

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

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

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

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

Stability and Uniqueness Results for the Nonseparated Boundary Conditions of Nonlinear Coupled System of Fractional Differential Equations

International Journal of Mathematics and Mathematical Sciences, Volume 2024, Issue 1, 2024.
In this article, the focus is on investigating the uniqueness, existence, and stability of a coupled system of fractional differential equations with non‐separated coupled boundary conditions. The uniqueness of solutions for the presented problem is discussed by employing the fixed‐point theorem.
Areen Al-khateeb, Hamzeh Zureigat, Belal Batiha, Shawkat Alkhazaleh, Birendra Nath Mandal   +4 more
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