Existence Results for Fractional Integro-Differential Equations with Fractional Order Non-instantaneous Impulsive Conditions

Anguraj, A.; Kanjanadevi, Subramaniam

doi:10.22606/jaam.2016.11005

Cited by 6 publications

(5 citation statements)

References 21 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…N(x) is convex, for all x ∈ PC(J, X). Indeed, if h 1 , h 2 ∈ N(x), then there exist 1 , 2 ∈ S G,x such that for each t ∈ J, we have 17) where i = 1, 2. Let 0 ≤ λ ≤ 1, then for each t ∈ J, we have…”

Section: Resultsmentioning

confidence: 99%

Existence of solutions for fractional differential inclusions with initial value condition and non-instantaneous impulses

Luo

2019

Filomat

View full text Add to dashboard Cite

In this paper, we mainly consider the existence of solutions for a kind of ψ-Hilfer fractional differential inclusions involving non-instantaneous impulses. Utilizing another nonlinear alternative of Leray-Schauder type, we present a new constructive result for the addressed system with the help of generalized Gronwall inequality and Lagrange mean-value theorem, and some achievements in the literature can be generalized and improved. As an application, a typical example is delineated to demonstrate the effectiveness of our theoretical results.

show abstract

Section: Resultsmentioning

confidence: 99%

Existence of solutions for fractional differential inclusions with initial value condition and non-instantaneous impulses

Luo

2019

Filomat

View full text Add to dashboard Cite

show abstract

“…Afterwards, Pierri et al [35] continued the work in this field and extend the theory of [23] in a PC α normed Banach space. The existence of solutions for non-instantaneous impulsive fractional differential equations have also been discussed in [8,19,27,29,34].…”

Section: Introductionmentioning

confidence: 99%

On Fractional Integro-differential Equations with State-Dependent Delay and Non-Instantaneous Impulses

Aissani

Benchohra

Benkhettou

2019

Cubo

View full text Add to dashboard Cite

In this paper, we prove the existence of mild solution of the fractional integro-differential equations with state-dependent delay with not instantaneous impulses. The existence results are obtained under the conditions in respect of Kuratowski's measure of noncompactness. An example is also given to illustrate the results. RESUMENEn este artículo, demostramos la existencia de soluciones mild de ecuaciones integrodiferenciales fraccionarias con retardo dependiente del estado e impulsos no instantáneos. Los resultados de existencia se obtienen bajo condiciones respecto de la medida de Kuratowski de no compacidad. También se entrega un ejemplo para ilustrar los resultados.

show abstract

“…Motivated by above remark, Wang and Fečkan [24] have shown existence, uniqueness and stability of solutions of such general class of impulsive differential equations. To learn more about this kind of problems, we refer [25][26][27][28][29][30][31][32][33][34].…”

Section: Introductionmentioning

confidence: 99%

Second Order Semilinear Volterra-Type Integro-Differential Equations with Non-Instantaneous Impulses

et al. 2019

View full text Add to dashboard Cite

We consider a non-instantaneous system represented by a second order nonlinear differential equation in a Banach space E. We use the family of linear bounded operators introduced by Kozak, Darbo fixed point method and Kuratowski measure of noncompactness. A new set of sufficient conditions is formulated which guarantees the existence of the solution of the non-instantaneous system. An example is also discussed to illustrate the efficiency of the obtained results.

show abstract

Existence Results for Fractional Integro-Differential Equations with Fractional Order Non-instantaneous Impulsive Conditions

Abstract: In this paper, we prove the existence results for fractional integro-differential equations with fractional order non-instantaneous impulsive conditions. We prove the existence of mild solutions by using the resolvent operator and fixed point theorem for condensing map.

Cited by 6 publications

References 21 publications

Existence of solutions for fractional differential inclusions with initial value condition and non-instantaneous impulses

Existence of solutions for fractional differential inclusions with initial value condition and non-instantaneous impulses

On Fractional Integro-differential Equations with State-Dependent Delay and Non-Instantaneous Impulses

Second Order Semilinear Volterra-Type Integro-Differential Equations with Non-Instantaneous Impulses

Contact Info

Product

Resources

About