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Ulam’s type stability of Hadamard type fractional integral equations
Author(s) -
JinRong Wang,
Zeng Lin
Publication year - 2014
Publication title -
filomat
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.449
H-Index - 34
eISSN - 2406-0933
pISSN - 0354-5180
DOI - 10.2298/fil1407323w
Subject(s) - mathematics , hadamard transform , type (biology) , stability (learning theory) , hadamard three lines theorem , kernel (algebra) , interval (graph theory) , mathematical analysis , pure mathematics , point (geometry) , hadamard matrix , combinatorics , geometry , ecology , machine learning , computer science , biology
In this paper, we further investigates Ulam's type stability of Hadamard type fractional integral equations on a compact interval. We explore new conditions and develop valuable techniques to overcome the di±cult from the Hadamard type singular kernel and extend the previous Ulam's type stability results in [10] from [1, b] to [a; b] with a > 0 via fixed point method. Finally, two examples are given to illustrate our results.

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