Analysis of Hilfer Fractional Integro-Differential Equations with Almost Sectorial Operators

被引：31

作者：

Karthikeyan, Kulandhaivel ^{[1
]}

Debbouche, Amar ^{[2
,3
]}

Torres, Delfim F. M. ^{[3
]}

机构：

[1] KPR Inst Engn & Technol, Ctr Res & Dev, Dept Math, Coimbatore 641407, Tamil Nadu, India

[2] Guelma Univ, Dept Math, Guelma 24000, Algeria

[3] Univ Aveiro, Ctr Res & Dev Math & Applicat CIDMA, Dept Math, P-3810193 Aveiro, Portugal

来源：

FRACTAL AND FRACTIONAL | 2021年 / 5卷 / 01期

关键词：

Hilfer fractional derivatives; mild solutions; almost sectorial operators; measure of non-compactness; APPROXIMATE CONTROLLABILITY; DIFFERENTIAL EQUATIONS; INCLUSIONS; EXISTENCE;

D O I：

10.3390/fractalfract5010022

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this work, we investigate a class of nonlocal integro-differential equations involving Hilfer fractional derivatives and almost sectorial operators. We prove our results by applying Schauder's fixed point technique. Moreover, we show the fundamental properties of the representation of the solution by discussing two cases related to the associated semigroup. For that, we consider compactness and noncompactness properties, respectively. Furthermore, an example is given to illustrate the obtained theory.

引用

页数：13

共 50 条

[31] Study on Sobolev type Hilfer fractional integro-differential equations with delay
Gou, Haide
Li, Baolin
JOURNAL OF FIXED POINT THEORY AND APPLICATIONS, 2018, 20 (01) : 1 - 26
[32] A New Result Concerning Nonlocal Controllability of Hilfer Fractional Stochastic Differential Equations via almost Sectorial Operators
Sivasankar, Sivajiganesan
Udhayakumar, Ramalingam
Hari Kishor, Muchenedi
Alhazmi, Sharifah E.
Al-Omari, Shrideh
MATHEMATICS, 2023, 11 (01)
[33] Theoretical Analysis for a System of Nonlinear φ-Hilfer Fractional Volterra-Fredholm Integro-differential Equations
Hamoud, Ahmed A.
Mohammed, Nedal M.
Shah, Rasool
JOURNAL OF SIBERIAN FEDERAL UNIVERSITY-MATHEMATICS & PHYSICS, 2023, 16 (02): : 216 - 229
[34] Existence results of ψ-Hilfer integro-differential equations with fractional order in Banach space
Almalahi, Mohammed A.
Panchal, Satish K.
ANNALES UNIVERSITATIS PAEDAGOGICAE CRACOVIENSIS-STUDIA MATHEMATICA, 2020, 19 (01) : 171 - 192
[35] Properties of some ψ-Hilfer fractional Fredholm-type integro-differential equations
Pachpatte, Deepak B.
ADVANCES IN OPERATOR THEORY, 2021, 6 (01)
[36] On ψ-Hilfer Fractional Integro-Differential Equations with Non-Instantaneous Impulsive Conditions
Arul, Ramasamy
Karthikeyan, Panjayan
Karthikeyan, Kulandhaivel
Geetha, Palanisamy
Alruwaily, Ymnah
Almaghamsi, Lamya
El-hady, El-sayed
FRACTAL AND FRACTIONAL, 2022, 6 (12)
[37] Cauchy problem for impulsive fractional differential equations with almost sectorial operators
Jaiswal, Anjali
Tyagi, Jagmohan
ZEITSCHRIFT FUR ANALYSIS UND IHRE ANWENDUNGEN, 2022, 41 (3-4): : 347 - 370
[38] Dynamical Analysis of Fractional Integro-Differential Equations
Hassan, Taher S.
Odinaev, Ismoil
Shah, Rasool
Weera, Wajaree
MATHEMATICS, 2022, 10 (12)
[39] On a Hilfer generalized proportional fractional integro-differential inclusion
Cernea, Aurelian
IFAC PAPERSONLINE, 2024, 58 (12): : 401 - 405
[40] Almost Sectorial Operators in Fractional Superdiffusion Equations
Cuesta, Eduardo
Ponce, Rodrigo
APPLIED MATHEMATICS AND OPTIMIZATION, 2025, 91 (01):

← 1 2 3 4 5 →