Browsing by Author "Mousalou, Asef"

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A new method for investigating approximate solutions of some fractional integro-differential equations involving the Caputo-Fabrizio derivative
(Springer International Publishing AG, 2017) Baleanu, Dumitru; Mousalou, Asef; Rezapour, Shahram; 56389
We present a new method to investigate some fractional integro-differential equations involving the Caputo-Fabrizio derivation and we prove the existence of approximate solutions for these problems. We provide three examples to illustrate our main results. By checking those, one gets the possibility of using some discontinuous mappings as coefficients in the fractional integro-differential equations.
On approximate solutions for two higher-order Caputo-Fabrizio fractional integro-differential equations
(Springer Open, 2017) Baleanu, Dumitru; Baleanu, Dumitru; Mousalou, Asef; Rezapour, Shahram; 56389
We investigate the existence of solutions for two high-order fractional differential equations including the Caputo-Fabrizio derivative. In this way, we introduce some new tools for obtaining solutions for the high-order equations. Also, we discuss two illustrative examples to confirm the reported results. In this way one gets the possibility of utilizing some continuous or discontinuous mappings as coefficients in the fractional differential equations of higher order.
On high order fractional integro-differential equations including the Caputo-Fabrizio derivative
(Springer Open, 2018) Baleanu, Dumitru; Baleanu, Dumitru; Mousalou, Asef; Rezapour, Shahram; 56389
By using the fractional Caputo-Fabrizio derivative, we introduce two types new high order derivations called CFD and DCF. Also, we study the existence of solutions for two such type high order fractional integro-differential equations. We illustrate our results by providing two examples.
On the existence of solutions for some infinite coefficient-symmetric Caputo-Fabrizio fractional integro-differential equations
(Springer, 2017) Baleanu, Dumitru; Mousalou, Asef; Rezapour, Shahram; 56389
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.
The extended fractional Caputo-Fabrizio derivative of order 0 <= sigma < 1 on C-R[0,1] and the existence of solutions for two higher-order series-type differential equations
(Springer Open, 2018) Baleanu, Dumitru; Mousalou, Asef; Rezapour, Shahram; 56389
We extend the fractional Caputo-Fabrizio derivative of order 0 <= sigma < 1 on C-R[0,1] and investigate two higher-order series-type fractional differential equations involving the extended derivation. Also, we provide an example to illustrate one of the main results.
The extended fractional Caputo-Fabrizio derivative of order 0 <= sigma < 1 on C-R[0,1] and the existence of solutions for two higher-order series-type differential equations
(2018) Baleanu, Dumitru; Mousalou, Asef; Rezapour, Shahram; 56389
We extend the fractional Caputo-Fabrizio derivative of order 0 <= sigma < 1 on C-R[0,1] and investigate two higher-order series-type fractional differential equations involving the extended derivation. Also, we provide an example to illustrate one of the main results.