scholarly journals Some results about conformable derivatives in banach spaces and an application to the partial differential equations

2021 ◽  
Author(s):  
Hristo Kiskinov ◽  
Milena Petkova ◽  
Andrey Zahariev ◽  
Magdalena Veselinova
Keyword(s):  
Partial Differential Equations ◽  
Differential Equations ◽  
Banach Spaces ◽  
Partial Differential ◽  
Conformable Derivatives

Solutions of Certain Fractional Partial Differential Equations

2021 ◽  
Vol 20 ◽  
pp. 504-507
Author(s):  
Alsauodi Maha ◽  
Alhorani Mohammed ◽  
Khalil Roshdi
Keyword(s):  
Partial Differential Equations ◽  
Differential Equations ◽  
Tensor Product ◽  
Banach Spaces ◽  
Separation Of Variables ◽  
Fractional Partial Differential Equations ◽  
Partial Differential

In this paper we find certain solutions of some fractional partial differential equations. Tensor product of Banach spaces is used where separation of variables does not work.

scholarly journals Semi-Analytic Technique for Solving Fractional Partial Differential Equations with Conformable Derivatives

2021 ◽  
Vol 24 (1) ◽  
pp. 39-44
Author(s):  
Noor I. Ibrahim ◽  
◽  
Osama H. Mohammed ◽  
Keyword(s):  
Partial Differential Equations ◽  
Differential Equations ◽  
Fractional Partial Differential Equations ◽  
Partial Differential ◽  
Approximate Methods ◽  
Analytical Technique ◽  
Suggested Technique ◽  
Homotopy Analysis ◽  
Conformable Derivatives ◽  
Approximate Result

In this work, we present a semi-analytical technique to find an approximate result of the conformable fractional partial differential equations (CFPDEs). The fractional order derivative will be in the conformable (CFD) sense. This definition is effective and simple in the solution of the fractional differential equations that have intricate solution with classical fractional derivative definition like Riemann-Liouville and Caputo. Furthermore, the result obtained by the proposed technique is like those in previous studies that used other types of approximate methods like (Homotopy analysis method) but it has the advantage of being simpler than the rest of these methods. In addition, results demonstrate obtained the Precision and effectiveness of the suggested technique.

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