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   new fractional operators theory and applications  
   
نویسنده hussain khudair o. ,al-jawari naseif j. ,mazeel abdul khaleq o.
منبع international journal of nonlinear analysis and applications - 2021 - دوره : 12 - شماره : Special Is - صفحه:825 -845
چکیده    In this article, we present a new fractional integral with a non-singular kernel and by using laplace transform, we derived the corresponding fractional derivative. by composition between our fractional integration operator with classical caputo and riemann-liouville fractional operators, we establish a new fractional derivative which is interpolated between the generalized fractional derivatives in a sense riemann-liouville and caputo-fabrizio with non-singular kernels. additionally, we introduce the fundamental properties of these fractional operators with applications and simulations. finally, a model of coronavirus (covid-19) transmission is presented as an application.
کلیدواژه fractional integral ,fractional derivative ,non-singular kernels ,mittag-leffler function ,coronavirus (covid-19)
آدرس al-mustansiriyah university, college of science, department of mathematics, iraq, al-mustansiriyah university, college of science, department of mathematics, iraq, al-mustansiriyah university, college of science, department of mathematics, iraq
پست الکترونیکی khaleqmazeel@uomustansiriyah.edu.iq
 
     
   
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