EXISTENCE OF MILD SOLUTIONS FOR FRACTIONAL DIFFERENTIAL EQUATIONS IN SEPARABLE BANACH SPACE

被引：0

作者：

Jawahdou, Adel ^{[1
]}

机构：

[1] Carthage Univ, Bizerte Preparatory Engn Inst, Dept Math, Tunis, Tunisia

来源：

DIFFERENTIAL EQUATIONS & APPLICATIONS | 2015年 / 7卷 / 04期

关键词：

semilinear differential equations; measure of noncompactness; mild solutions; Schauder fixed point theorem;

D O I：

10.7153/dea-07-28

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

This paper is concerned with the existence of mild solutions for fractional semilinear differential equations with non local conditions in separable Banach spaces. The result is established by using the technique of measures of noncompactness in Banach spaces of continuous functions and Schauder fixed point theorem.

引用

页码：489 / 501

页数：13

共 50 条

[1] Lp-existence of mild solutions of fractional differential equations in Banach space
Jawandou, Adel
[J]. COMPUTATIONAL METHODS FOR DIFFERENTIAL EQUATIONS, 2019, 7 (01): : 105 - 116
[2] Existence of mild solutions for Hilfer fractional evolution equations in Banach space
Gou, Haide
[J]. ANNALES POLONICI MATHEMATICI, 2022, 128 (01) : 15 - 38
[3] Existence of mild solutions to Hilfer fractional evolution equations in Banach space
Sousa, J. Vanterler da C.
Jarad, Fahd
Abdeljawad, Thabet
[J]. ANNALS OF FUNCTIONAL ANALYSIS, 2020, 12 (01)
[4] Existence of mild solutions to Hilfer fractional evolution equations in Banach space
J. Vanterler da C. Sousa
Fahd Jarad
Thabet Abdeljawad
[J]. Annals of Functional Analysis, 2021, 12
[5] Existence and Ulam stability of mild solutions for nonlinear fractional inegro-differential equations in a Banach space
Harkat, Lamia
Bessioud, Karima
Ardjouni, Abdelouaheb
[J]. SAO PAULO JOURNAL OF MATHEMATICAL SCIENCES, 2024, 18 (01): : 258 - 276
[6] EXISTENCE AND UNIQUENESS OF MILD SOLUTIONS OF SECOND ORDER SEMILINEAR DIFFERENTIAL EQUATIONS IN BANACH SPACE
Gorbatenko, Ya. V.
[J]. METHODS OF FUNCTIONAL ANALYSIS AND TOPOLOGY, 2011, 17 (01): : 1 - 9
[7] EXISTENCE OF SOLUTIONS OF DIFFERENTIAL EQUATIONS IN BANACH-SPACE
KNIGHT, WJ
[J]. BULLETIN OF THE AMERICAN MATHEMATICAL SOCIETY, 1974, 80 (01) : 148 - 149
[8] Existence of mild solutions for perturbed fractional neutral differential equations through deformable derivatives in Banach spaces
Sreedharan, R.
Balachandar, S. Raja
Raja, S. P.
[J]. INTERNATIONAL JOURNAL OF WAVELETS MULTIRESOLUTION AND INFORMATION PROCESSING, 2023, 21 (03)
[9] CONDITIONS FOR EXISTENCE OF BOUNDED SOLUTIONS TO DIFFERENTIAL EQUATIONS IN BANACH SPACE
MEDVEDEV, NV
[J]. DOKLADY AKADEMII NAUK SSSR, 1969, 184 (01): : 34 - &
[10] GENERIC PROPERTY OF EXISTENCE OF SOLUTIONS OF DIFFERENTIAL EQUATIONS IN BANACH SPACE
LASOTA, A
YORKE, JA
[J]. JOURNAL OF DIFFERENTIAL EQUATIONS, 1973, 13 (01) : 1 - 12

← 1 2 3 4 5 →