Ulam type stability for non-instantaneous impulsive Caputo fractional differential equations with finite state dependent delay
-
Ravi Agarwal
,
Snezhana Hristova
Abstract
Four Ulam type stability concepts for non-instantaneous impulsive fractional differential equations with state dependent delay are introduced. Two different approaches to the interpretation of solutions are investigated. We study the case of an unchangeable lower bound of the Caputo fractional derivative and the case of a lower bound coinciding with the point of jump for the solution. In both cases we obtain sufficient conditions for Ulam type stability. An example is also provided to illustrate both approaches.
References
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Articles in the same Issue
- Frontmatter
- Ulam type stability for non-instantaneous impulsive Caputo fractional differential equations with finite state dependent delay
- m-potent commutators involving skew derivations and multilinear polynomials
- On some higher order equations admitting meromorphic solutions in a given domain
- Mixed- and crack-type dynamical problems of electro-magneto-elasticity theory
- Regular Hom-algebras admitting a multiplicative basis
- The uniform convergence of a double sequence of functions at a point and Korovkin-type approximation theorems
- On the generalized nonmeasurability of Vitali sets and Bernstein sets
- BiHom-pre-Lie algebras, BiHom-Leibniz algebras and Rota–Baxter operators on BiHom-Lie algebras
- An extension of the Muckenhoupt–Wheeden theorem to generalized weighted Morrey spaces
- Asymptotic behavior of solutions of half-linear differential equations and generalized Karamata functions
- Weighted higher order exponential type inequalities in metric spaces and applications
- Admissible Galois Structures on the categories dual to some varieties of universal algebras
Articles in the same Issue
- Frontmatter
- Ulam type stability for non-instantaneous impulsive Caputo fractional differential equations with finite state dependent delay
- m-potent commutators involving skew derivations and multilinear polynomials
- On some higher order equations admitting meromorphic solutions in a given domain
- Mixed- and crack-type dynamical problems of electro-magneto-elasticity theory
- Regular Hom-algebras admitting a multiplicative basis
- The uniform convergence of a double sequence of functions at a point and Korovkin-type approximation theorems
- On the generalized nonmeasurability of Vitali sets and Bernstein sets
- BiHom-pre-Lie algebras, BiHom-Leibniz algebras and Rota–Baxter operators on BiHom-Lie algebras
- An extension of the Muckenhoupt–Wheeden theorem to generalized weighted Morrey spaces
- Asymptotic behavior of solutions of half-linear differential equations and generalized Karamata functions
- Weighted higher order exponential type inequalities in metric spaces and applications
- Admissible Galois Structures on the categories dual to some varieties of universal algebras
