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Title
On the existence of solutions for some infinite coefficient-symmetric Caputo-Fabrizio fractional integro-differential equations
Type of Research Article
Keywords
continued fraction; contraction map; fractional integro-differential equation; infinite Caputo-Fabrizio fractional derivative
Abstract
By mixing the idea of 2-arrays, continued fractions, and Caputo-Fabrizio fractional derivative, we introduce a new operator entitled the infinite coefficient-symmetric Caputo-Fabrizio fractional derivative. We investigate the approximate solutions for two infinite coefficient-symmetric Caputo-Fabrizio fractional integro-differential problems. Finally, we analyze two examples to confirm our main results.
Researchers Dumitru Baleanu (First Researcher)، Asef Mousalou (Second Researcher)، Shahram Rezapour (Third Researcher)