Existence and uniqueness of solutions for system of Hilfer–Hadamard sequential fractional differential equations with two point boundary conditions

In this paper, we study existence and uniqueness of solutions for a system of Hilfer–Hadamard sequential fractional differential equations via standard fixed point theorems. The existence is proved by using the Leray–Schauder alternative, while the existence and uniqueness by the Banach contraction...

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Bibliographic Details
Published inAdvances in difference equations Vol. 2019; no. 1; pp. 1 - 16
Main Authors Saengthong, Warissara, Thailert, Ekkarath, Ntouyas, Sotiris K.
Format Journal Article
LanguageEnglish
Published Cham Springer International Publishing 18.12.2019
Springer Nature B.V
SpringerOpen
Subjects
Analysis
Boundary conditions
Difference and Functional Equations
Differential equations
Fixed point
Functional Analysis
Hilfer–Hadamard fractional differential equations
Mathematics
Mathematics and Statistics
Ordinary Differential Equations
Partial Differential Equations
Boundary conditions
Hilfer–Hadamard fractional differential equations
34B10
Fixed point
34A08
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Summary:In this paper, we study existence and uniqueness of solutions for a system of Hilfer–Hadamard sequential fractional differential equations via standard fixed point theorems. The existence is proved by using the Leray–Schauder alternative, while the existence and uniqueness by the Banach contraction mapping principle. Illustrative examples are also discussed.
ISSN:1687-1847
1687-1839
1687-1847
DOI:10.1186/s13662-019-2459-8