ON AN ANTI-PERIODIC BOUNDARY VALUE PROBLEM FOR A CAPUTO-FABRIZIO FRACTIONAL DIFFERENTIAL INCLUSION

被引：0

作者：

Cernea, Aurelian ^{[1
,2
]}

机构：

[1] Univ Bucharest, Fac Math & Comp Sci, Acad 14, Bucharest 010014, Romania

[2] Acad Romanian Scientists, Ilfov 3, Bucharest 050044, Romania

来源：

MEMOIRS ON DIFFERENTIAL EQUATIONS AND MATHEMATICAL PHYSICS | 2025年 / 94卷

关键词：

Fractional derivative; differential inclusion; fixed point; selection;

D O I：

暂无

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

The existence of solutions for a Caputo-Fabrizio fractional differential inclusion with anti-periodic boundary conditions is investigated. New results are obtained when the right hand side has convex or non convex values.

引用

页码：45 / 58

页数：14

共 20 条

[1]

Al-Refai M, 2019, Progress in Fractional Differentiation and Applications, V5, P157, DOI [10.18576/pfda/050206, DOI 10.18576/PFDA/050206]

[2]

[Anonymous], 2016, PROG FRACT DIFFER AP, DOI [DOI 10.18576/PFDA/020101, 10.18576/pfda/020101]

[3] PROPERTIES OF THE CAPUTO-FABRIZIO FRACTIONAL DERIVATIVE AND ITS DISTRIBUTIONAL SETTINGS [J].

Atanackovic, Teodor M. ;

Pilipovic, Stevan ;

Zorica, Dusan .

FRACTIONAL CALCULUS AND APPLIED ANALYSIS, 2018, 21 (01) :29-44

[4]

Aubin J.-P., 1990, SET-VALUED ANAL, DOI 10.1007/978-0-8176-4848-0

[5]

Baleanu D., 2012, Series on Complexity, Nonlinearity and Chaos, V3

[6]

Benyoub M, 2022, Mathematica Moravica, V26, P49, DOI 10.5937/matmor2202049b

[7] EXTENSIONS AND SELECTIONS OF MAPS WITH DECOMPOSABLE VALUES [J].

BRESSAN, A ;

COLOMBO, G .

STUDIA MATHEMATICA, 1988, 90 (01) :69-86

[8]

Caputo M, 1969, Elasticity e dissipazione

[9]

Caputo M, 2016, Progress in Fractional Differentiation and Applications, V2, P1, DOI [10.18576/pfda/020101, DOI 10.12785/PFDA/010201]

[10]

Cernea A., 2020, J. Nonlinear Evol. Equ. Appl., P163

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