Mousalou, AsefRezapour, ShahramBaleanu, Dumitru2019-12-102025-09-182019-12-102025-09-182017Baleanu, Dumitru; Mousalou, Asef; Rezapour, Shahram 82017). On the existence of solutions for some infinite coefficient-symmetric Caputo-Fabrizio fractional integro-differential equations, Boundary Value Problems.1687-2770https://doi.org/10.1186/s13661-017-0867-9https://hdl.handle.net/20.500.12416/13717By 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.eninfo:eu-repo/semantics/openAccessContinued FractionContraction MapFractional Integro-Differential EquationInfinite Caputo-Fabrizio Fractional DerivativeArticle10.1186/s13661-017-0867-92-s2.0-85030856044