fractional integrodifferential equation
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2018 ◽  
Vol 42 (4) ◽  
pp. 1249-1261 ◽  
Author(s):  
José Vanterler da Costa Sousa ◽  
Daniela dos Santos Oliveira ◽  
Edmundo Capelas de Oliveira

2018 ◽  
Vol 2018 ◽  
pp. 1-11 ◽  
Author(s):  
R. Mastani Shabestari ◽  
R. Ezzati ◽  
T. Allahviranloo

A matrix method called the Bernoulli wavelet method is presented for numerically solving the fuzzy fractional integrodifferential equations. Using the collocation points, this method transforms the fuzzy fractional integrodifferential equation to a matrix equation which corresponds to a system of nonlinear algebraic equations with unknown coefficients. To illustrate the method, it is applied to certain fuzzy fractional integrodifferential equations, and the results are compared.


2015 ◽  
Vol 16 (1) ◽  
Author(s):  
Kamlendra Kumar ◽  
Rakesh Kumar

ABSTRACT :  In the present paper we prove the existence and uniqueness of local solutions of a nonlocal Cauchy problem for a class of fractional integrodifferential equation. The results are obtained by using the theory of resolvent operators, the fractional powers of operators, fixed point techniques and the Gelfand-Shilov principle.


2015 ◽  
Vol 2015 ◽  
pp. 1-12 ◽  
Author(s):  
Dumitru Baleanu ◽  
Shahram Rezapour ◽  
Sina Etemad ◽  
Ahmed Alsaedi

The existence and the uniqueness theorems play a crucial role prior to finding the numerical solutions of the fractional differential equations describing the models corresponding to the real world applications. In this paper, we study the existence of solutions for a time-fractional integrodifferential equation via three-point boundary value conditions.


2014 ◽  
Vol 2014 ◽  
pp. 1-10 ◽  
Author(s):  
Alka Chadha ◽  
Dwijendra N. Pandey

We consider an impulsive neutral fractional integrodifferential equation with infinite delay in an arbitrary Banach spaceX. The existence of mild solution is established by using solution operator and Hausdorff measure of noncompactness.


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