Ulam’s stability of multi-point implicit boundary value problems with non-instantaneous impulses

In this paper, the existence results of the solutions and stability are focused for impulsive implicit sequential fractional differential equation with multi-points boundary conditions. In view of the definitions of Caputo fractional order, the existence, uniqueness, and at least one solution of the...

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Bibliographic Details
Published inBollettino della Unione matematica italiana (2008) Vol. 13; no. 3; pp. 305 - 328
Main Authors Zada, Akbar, Ali, Nasir, Riaz, Usman
Format Journal Article
LanguageEnglish
Published Cham Springer International Publishing 01.09.2020
Springer Nature B.V
Subjects
Boundary conditions
Boundary value problems
Differential equations
Mathematics
Mathematics and Statistics
Stability
Impulses
34B27
Fixed point theorem
Implicit sequential fractional differential equation
26A33
Ulam stability
Caputo fractional derivative
34A08
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Summary:In this paper, the existence results of the solutions and stability are focused for impulsive implicit sequential fractional differential equation with multi-points boundary conditions. In view of the definitions of Caputo fractional order, the existence, uniqueness, and at least one solution of the aforesaid equation are presented. Beside this, Ulam’s type stabilities are discussed. To support our main results, we present some examples.
ISSN:1972-6724
2198-2759
DOI:10.1007/s40574-020-00219-8