Results 21 to 30 of about 585 (118)

Existence theory for nonlinear volterra integral and differential equations

Journal of Inequalities and Applications, 2001
The technique of measures of noncompactness and measures of weak noncompactness is used in order to derive existence results for integrodifferential equation of the form \[ y'(t)= f\left(t,y(t), \int^t_0 k\bigl(t,s,y(s)\bigr)ds \right),\;t\in[0,T],\;y(0)=0.
openaire   +3 more sources

Nonlinear Volterra integral equations in Henstock integrability setting

Electronic Journal of Differential Equations, 2008
Summary: We prove the existence of global solutions for nonlinear Volterra-type integral equations involving the Henstock integral in Banach spaces. The functions governing the equation are supposed to be continuous only with respect to some variables and to satisfy some integrability or boundedness conditions. Our result improves the similar one given
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Volterra integral equation with power nonlinearity

Chebyshevskii Sbornik, 2022
openaire   +1 more source

Volterra Runge- Kutta Methods for Solving Nonlinear Volterra Integral Equations

Baghdad Science Journal
In this paper Volterra Runge-Kutta methods which include: method of order two and four will be applied to general nonlinear Volterra integral equations of the second kind. Moreover we study the convergent of the algorithms of Volterra Runge-Kutta methods.
openaire   +1 more source

Existence and uniqueness of solutions for fuzzy fractional integro-differential equations with boundary conditions. [PDF]

Sci Rep
K A, V P, Kausar N, Salman MA.
europepmc   +1 more source

Some new results on interval-valued volterra integro-differential equations for caputo fractional derivative. [PDF]

Sci Rep
Noureen S, Zehra A, Tolasa FT.
europepmc   +1 more source

A numerical approach to fractional Volterra-Fredholm integro-differential problems using shifted Chebyshev spectral collocation. [PDF]

Sci Rep
Hamood MM, Sharif AA, Ghadle KP.
europepmc   +1 more source

Spectral methods for Neural Integral Equations. [PDF]

Ric Mat
Zappala E.
europepmc   +1 more source

Singularity in nonlinear systems: differential inclusion model for the standard and transformed fractional pantograph equation. [PDF]

Sci Rep
Mobayen S, Ghaderi M, Shabibi M, Parvaneh Masiha H, Rezapour S.   +4 more
europepmc   +1 more source

A note on a generalized double series. [PDF]

PLoS One
Reynolds R.
europepmc   +1 more source