Existence of solutions of nonlinear fractional pantograph equations
This article deals with the existence of solutions of nonlinear fractional pantograph
equations. Such model can be considered suitable to be applied when the corresponding …
equations. Such model can be considered suitable to be applied when the corresponding …
On the existence of solutions of fractional integro-differential equations
Under some suitable conditions, we prove the solvability of a large class of nonlinear
fractional integro-differential equations by establishing some fractional integral inequalities …
fractional integro-differential equations by establishing some fractional integral inequalities …
The solvability and optimal controls for impulsive fractional stochastic integro-differential equations via resolvent operators
P Balasubramaniam, P Tamilalagan - Journal of Optimization Theory and …, 2017 - Springer
In this manuscript, we investigate the solvability and optimal controls for impulsive fractional
stochastic integro-differential equations in Hilbert space. Sufficient conditions are obtained …
stochastic integro-differential equations in Hilbert space. Sufficient conditions are obtained …
[HTML][HTML] Mild solutions of non-autonomous second order problems with nonlocal initial conditions
HR Henríquez, V Poblete, JC Pozo - Journal of Mathematical Analysis and …, 2014 - Elsevier
In this paper we establish the existence of mild solutions for a non-autonomous abstract
semi-linear second order differential equation submitted to nonlocal initial conditions. Our …
semi-linear second order differential equation submitted to nonlocal initial conditions. Our …
[HTML][HTML] Relative controllability of fractional dynamical systems with multiple delays in control
This paper is concerned with the global relative controllability of fractional dynamical
systems with multiple delays in control for finite dimensional spaces. Sufficient conditions for …
systems with multiple delays in control for finite dimensional spaces. Sufficient conditions for …
An analysis on the approximate controllability of neutral impulsive stochastic integrodifferential inclusions via resolvent operators
This article focuses on the approximate controllability of impulsive neutral stochastic
integrodifferential inclusions in Hilbert spaces. We used resolvent operators, fixed point …
integrodifferential inclusions in Hilbert spaces. We used resolvent operators, fixed point …
Existence of solution for delay fractional differential equations
Y Jalilian, R Jalilian - Mediterranean Journal of Mathematics, 2013 - Springer
This paper is devoted to the existence of solution for a class of delay fractional differential
equations. First we prove some singular integral inequalities. Then using a fixed point …
equations. First we prove some singular integral inequalities. Then using a fixed point …
[HTML][HTML] Relative controllability of fractional dynamical systems with distributed delays in control
K Balachandran, Y Zhou, J Kokila - Computers & Mathematics with …, 2012 - Elsevier
This paper deals with the global relative controllability of linear and nonlinear fractional
dynamical systems with distributed delays in control for finite dimensional spaces. Sufficient …
dynamical systems with distributed delays in control for finite dimensional spaces. Sufficient …
[HTML][HTML] Existence of solutions of abstract fractional integrodifferential equations of Sobolev type
K Balachandran, S Kiruthika - Computers & Mathematics with Applications, 2012 - Elsevier
This paper deals with the study of existence of solutions of nonlinear fractional
integrodifferential equations of Sobolev type with nonlocal condition in Banach spaces. The …
integrodifferential equations of Sobolev type with nonlocal condition in Banach spaces. The …
Existence of mild solutions for a semilinear integrodifferential equation with nonlocal initial conditions
Using Hausdorff measure of noncompactness and a fixed‐point argument we prove the
existence of mild solutions for the semilinear integrodifferential equation subject to nonlocal …
existence of mild solutions for the semilinear integrodifferential equation subject to nonlocal …