On the Existence of Solutions for Some Infinite Coefficient-Symmetric Caputo-Fabrizio Fractional Integro-Differential Equations
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Date
2017
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Publisher
Springeropen
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GOLD
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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.
Description
Keywords
Continued Fraction, Contraction Map, Fractional Integro-Differential Equation, Infinite Caputo-Fabrizio Fractional Derivative, fractional integro-differential equation, Financial economics, Economics, Operator (biology), Theory and Applications of Fractional Differential Equations, Mathematical analysis, Biochemistry, Gene, Differential equation, Numerical Methods for Singularly Perturbed Problems, FOS: Mathematics, Anomalous Diffusion Modeling and Analysis, QA299.6-433, Numerical Analysis, Applied Mathematics, Fractional calculus, contraction map, Partial differential equation, Applied mathematics, continued fraction, Fractional Derivatives, Chemistry, Modeling and Simulation, Derivative (finance), Physical Sciences, Repressor, Differential operator, Transcription factor, infinite Caputo-Fabrizio fractional derivative, Analysis, Mathematics, Ordinary differential equation, Integro-ordinary differential equations, Fractional derivatives and integrals, infinite Caputo-fabrizio fractional derivative
Fields of Science
01 natural sciences, 0101 mathematics
Citation
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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Q1
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OpenCitations Citation Count
139
Source
Boundary Value Problems
Volume
2017
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Scopus : 154
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