Existence of solutions of nonlinear fractional pantograph equations

K Balachandran, S Kiruthika, JJ Trujillo - Acta Mathematica Scientia, 2013 - Elsevier
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 …

On the existence of solutions of fractional integro-differential equations

A Aghajani, Y Jalilian, JJ Trujillo - Fractional Calculus and Applied …, 2012 - Springer
Under some suitable conditions, we prove the solvability of a large class of nonlinear
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 …

[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 …

[HTML][HTML] Relative controllability of fractional dynamical systems with multiple delays in control

K Balachandran, J Kokila, JJ Trujillo - Computers & Mathematics with …, 2012 - Elsevier
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 …

An analysis on the approximate controllability of neutral impulsive stochastic integrodifferential inclusions via resolvent operators

YK Ma, J Pradeesh, A Shukla, V Vijayakumar… - Heliyon, 2023 - cell.com
This article focuses on the approximate controllability of impulsive neutral stochastic
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 …

[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 …

[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 …

Existence of mild solutions for a semilinear integrodifferential equation with nonlocal initial conditions

C Lizama, JC Pozo - Abstract and Applied Analysis, 2012 - Wiley Online Library
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 …