On the existence of solutions for some infinite coefficient-symmetric Caputo-Fabrizio fractional integro-differential equations
Date
2017
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Springer
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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.
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Continued Fraction, Contraction Map, Fractional İntegro-Differential Equation, İnfinite Caputo-Fabrizio Fractional Derivative
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Baleanu, 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.
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Boundary Value Problems