Results 1 to 10 of about 348 (58)
Fixed point theorem by using ψ–contraction and (ϕ,φ)–contraction in probabilistic 2–metric spaces
This research paper investigates and proves some theorems of the fixed point for self–mapping [T:X→X] under (ϕ,ψ)–contractive mappings and (ϕ,φ)–contractive mappings in Menger probabilistic 2–metric space.
H.M. Abu-Donia +2 more
doaj +1 more source
Local attractivity for integro-differential equations with noncompact semigroups
In this paper, we are devoted to study the existence and local attractivity of solutions for a class of integro-differential equations.Under the situation that the nonlinear term satisfy Carathéodory conditions and a noncompactness measure condition, we ...
Diop Amadou +3 more
doaj +1 more source
In this article, we propose a generalization of both b-metric and dislocated metric, namely, dislocated extended b-metric space. After getting some fixed point results, we suggest a relatively simple solution for a Volterra integral equation by using the
Sumati Kumari Panda +2 more
doaj +1 more source
In this article, we investigate the semi-analytic solutions of non-linear Volterra fractional integro-differential equations by using Laplace Adomian decomposition method. We discuss the method in general and provide examples for the illustration purpose.
Hussam Alrabaiah +3 more
doaj +1 more source
Time dependent delta-prime interactions in dimension one [PDF]
We solve the Cauchy problem for the Schr\"odinger equation corresponding to the family of Hamiltonians $H_{\gamma(t)}$ in $L^{2}(\mathbb{R})$ which describes a $\delta'$-interaction with time-dependent strength $1/\gamma(t)$.
Cacciapuoti, Claudio +2 more
core +1 more source
On the existence and uniqueness of solution to Volterra equation on a time scale
Using a global inversion theorem we investigate properties of the following ...
Kluczyński Bartłomiej
doaj +1 more source
Solutions to a class of nonlinear differential equations of fractional order [PDF]
In this paper we investigate the formulation of a class of boundary value problems of fractional order with the Riemann-Liouville fractional derivative and integral-type boundary conditions.
Kosmatov, Nickolai
core +1 more source
A nonstandard Volterra integral equation on time scales
This paper introduces the more general result on existence, uniqueness and boundedness for solutions of nonstandard Volterra type integral equation on an arbitrary time scales.
Reinfelds Andrejs, Christian Shraddha
doaj +1 more source
The law of the supremum of a stable L\'{e}vy process with no negative jumps [PDF]
Let $X=(X_t)_{t\ge0}$ be a stable L\'{e}vy process of index $\alpha \in(1,2)$ with no negative jumps and let $S_t=\sup_{0\le s\le t}X_s$ denote its running supremum for $t>0$.
Bernyk, Violetta +2 more
core +2 more sources
Coupled system of a fractional order differential equations with weighted initial conditions
Here, a coupled system of nonlinear weighted Cauchy-type problem of a diffre-integral equations of fractional order will be considered. We study the existence of at least one integrable solution of this system by using Schauder fixed point Theorem.
El-Sayed Ahmed M. A. +1 more
doaj +1 more source

