Almost sectorial operators on Ψ‐Hilfer derivative fractional impulsive integro‐differential equations

K Karthikeyan, P Karthikeyan… - … Methods in the …, 2022 - Wiley Online Library
This paper is concerned with the existence results of Ψ‐Hilfer fractional impulsive integro‐
differential equations involving almost sectorial operators. The mild solutions of the …

Results on controllability of Hilfer fractional differential equations with infinite delay via measures of noncompactness

K Kavitha, V Vijayakumar, R Udhayakumar… - Asian Journal of …, 2022 - Wiley Online Library
This manuscript mainly focuses on the controllability of Hilfer fractional differential system
with infinite delay. We study our primary outcomes by employing fractional calculus …

A discussion on approximate controllability of Sobolev‐type Hilfer neutral fractional stochastic differential inclusions

C Dineshkumar, K Sooppy Nisar… - Asian Journal of …, 2022 - Wiley Online Library
In this paper, the approximate controllability of Sobolev‐type Hilfer neutral fractional
stochastic differential inclusions in Hilbert spaces is considered. By using the stochastic …

An analysis of controllability results for nonlinear Hilfer neutral fractional derivatives with non-dense domain

KS Nisar, K Jothimani, K Kaliraj… - Chaos, Solitons & …, 2021 - Elsevier
In this article, the controllability results of the non-dense Hilfer neutral fractional derivative
(HNFD) are presented. The results are acknowledged using semigroup theory, fractional …

[HTML][HTML] New results on nonlocal functional integro-differential equations via Hilfer fractional derivative

R Subashini, K Jothimani, KS Nisar… - Alexandria Engineering …, 2020 - Elsevier
In this work, the existence of Hilfer fractional integro-differential equations with nonlocal
conditions are discussed. To obtain such result, we use M o¨ nch fixed point theorem and the …

Results concerning to approximate controllability of non‐densely defined Sobolev‐type Hilfer fractional neutral delay differential system

KS Nisar, V Vijayakumar - Mathematical Methods in the …, 2021 - Wiley Online Library
In this manuscript, our primary focus on the approximate controllability outcomes for non‐
densely defined Sobolev‐type Hilfer fractional neutral differential system with infinite delay …

Ulam–Hyers–Rassias stability for a class of fractional integro-differential equations

EC de Oliveira, JVC Sousa - Results in Mathematics, 2018 - Springer
By means of the recent ψ ψ-Hilfer fractional derivative and of the Banach fixed-point
theorem, we investigate stabilities of Ulam–Hyers, Ulam–Hyers–Rassias and semi-Ulam …

Results on the existence of Hilfer fractional neutral evolution equations with infinite delay via measures of noncompactness

K Kavitha, V Vijayakumar… - … Methods in the …, 2021 - Wiley Online Library
In this manuscript, we are mainly focusing on the existence of mild solutions for the Hilfer
fractional evolution system with infinite delay via measures of noncompactness. Fractional …

[HTML][HTML] An interpretation on controllability of Hilfer fractional derivative with nondense domain

C Ravichandran, K Jothimani, KS Nisar… - Alexandria Engineering …, 2022 - Elsevier
Controllability results of Hilfer delay fractional derivative (HDFD) with nondense operator
have been articulated in this article. Primary discussions were made on the existence of mild …

Results on controllability of Hilfer fractional neutral differential equations with infinite delay via measures of noncompactness

K Kavitha, V Vijayakumar, R Udhayakumar - Chaos, Solitons & Fractals, 2020 - Elsevier
This manuscript highlights the controllability of Hilfer fractional neutral differential systems
with infinite delay. A vivid study on the primary outcomes is carried out by applying fractional …