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Stability Analysis of Multi-point Boundary Value Problem for Sequential Fractional Differential Equations with Non-instantaneous Impulses.
- Source :
-
International Journal of Nonlinear Sciences & Numerical Simulation . Dec2018, Vol. 19 Issue 7/8, p763-774. 12p. - Publication Year :
- 2018
-
Abstract
- This paper deals with a new class of non-linear impulsive sequential fractional differential equations with multi-point boundary conditions using Caputo fractional derivative, where impulses are non instantaneous. We develop some sufficient conditions for existence, uniqueness and different types of Ulam stability, namely Hyers–Ulam stability, generalized Hyers–Ulam stability, Hyers–Ulam–Rassias stability and generalized Hyers–Ulam–Rassias stability for the given problem. The required conditions are obtained using fixed point approach. The validity of our main results is shown with the aid of few examples. [ABSTRACT FROM AUTHOR]
Details
- Language :
- English
- ISSN :
- 15651339
- Volume :
- 19
- Issue :
- 7/8
- Database :
- Academic Search Index
- Journal :
- International Journal of Nonlinear Sciences & Numerical Simulation
- Publication Type :
- Academic Journal
- Accession number :
- 133427692
- Full Text :
- https://doi.org/10.1515/ijnsns-2018-0040