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|Title:||Analysis of fractional integro-differential equations of thermistor type|
|Author:||Sidi Ammi, Moulay Rchid|
Torres, Delfim F. M.
|Keywords:||Integral and differential equations|
Nonlocal thermistor problems
Local and global existence
|Abstract:||We survey methods and results of fractional differential equations in which an unknown function is under the operation of integration and/or differentiation of fractional order. As an illustrative example, we review results as regards fractional integral and differential equations of thermistor type. Several nonlocal problems are considered: problems concerned with Riemann–Liouville, Caputo, and time-scale fractional operators. The existence and uniqueness of positive solutions are obtained through suitable fixed-point theorems in proper Banach spaces. Additionally, existence and continuation theorems are given, ensuring global existence.|
|Appears in Collections:||CIDMA - Capítulo de livro|
SCG - Capítulo de livro
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