Analytical solutions of the fractional wave equations with a memory effects with exponential kernel
General Material Designation
Dissertation
First Statement of Responsibility
Muslim Atshan
.PUBLICATION, DISTRIBUTION, ETC
Name of Publisher, Distributor, etc.
Mathematical Sciences
Date of Publication, Distribution, etc.
1401
PHYSICAL DESCRIPTION
Specific Material Designation and Extent of Item
66p.
Other Physical Details
cd
DISSERTATION (THESIS) NOTE
Dissertation or thesis details and type of degree
M.S.
Discipline of degree
applied mathematics
Date of degree
1401/10/28
SUMMARY OR ABSTRACT
Text of Note
Analytical solutions of the fractional wave equation are studied in this thesis. These solutions are achieved through the use of the Caputo-Fabrizio fractional derivation. For the purposes of this work, three different scenarios are taken into consideration, the classical, the damped, and the damped with a source term are described by fractional wave equations scenarios.These results are shown to be special examples of the exponential law for time fractional equations. There are several of examples provided to help illustrate the points.
Text of Note
جوابهای تحلیلی برای معادله موج کسری در پایان نامه حاضر مورد بررسی قرار گرفته اند. این جوابها برای مشتق کاپوتو فابریزیو کسری به دست آمده اند. برای این کار، سه مساله کلاسیک موج، مساله دمپر و دمپر با یک جمله منبع برای معادله موج کسری مورد بررسی قرار گرفته است. نتایج به دست آمده نشان می دهند که جوابهای به دست آمده حالت خاصی از معادلات با زمان کسری با قانون نمایی است
OTHER VARIANT TITLES
Variant Title
حل تحلیلی معادلات موج کسری با اثرات حافظه با استفاده از هسته نمایی
UNCONTROLLED SUBJECT TERMS
Subject Term
Fractional derivatives and integrals, Wave equation Problems with friction