Fractional Langevin Equations with Nonseparated Integral Boundary Conditions

Fractional Langevin Equations with Nonseparated Integral Boundary Conditions

In this paper, we discuss the existence of solutions for nonlinear fractional Langevin equations with nonseparated type integral boundary conditions. The Banach fixed point theorem and Krasnoselskii fixed point theorem are applied to establish the results. Some examples are provided for the illustra...

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Veröffentlicht in:Advances in Mathematical Physics 2020, Vol.2020 (2020), p.1-8
Hauptverfasser: Melliani, Said, Guida, Karim, Ibnelazyz, Lahcen, Hilal, Khalid
Format: Artikel
Sprache:eng
Schlagworte:
Analysis
Banach spaces
Boundary conditions
Boundary value problems
Calculus
Differential equations
Fixed points (mathematics)
Fractals
Fuzzy logic
Integrals
Mathematical analysis
Nonlinear equations
Theorems
Theory
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Beschreibung
Zusammenfassung:In this paper, we discuss the existence of solutions for nonlinear fractional Langevin equations with nonseparated type integral boundary conditions. The Banach fixed point theorem and Krasnoselskii fixed point theorem are applied to establish the results. Some examples are provided for the illustration of the main work.
ISSN:1687-9120
1687-9139
DOI:10.1155/2020/3173764