dc.contributor.advisor |
Oğurlu, Sonuç Zorlu |
|
dc.contributor.author |
Arshad, Nouman |
|
dc.date.accessioned |
2018-06-20T10:08:13Z |
|
dc.date.available |
2018-06-20T10:08:13Z |
|
dc.date.issued |
2017-02 |
|
dc.date.submitted |
2017-02 |
|
dc.identifier.citation |
Arshad, Nouman. (2017). Fractional Mixed Volttera - Fredhol Integrodifferential Equation. Thesis (M.S.), Eastern Mediterranean University, Institute of Graduate Studies and Research, Dept. of Mathematics, Famagusta: North Cyprus. |
en_US |
dc.identifier.uri |
http://hdl.handle.net/11129/3835 |
|
dc.description |
Master of Science in Mathematics. Thesis (M.S.)--Eastern Mediterranean University, Faculty of Arts and Sciences, Dept. of Mathematics, 2017. Supervisor: Prof. Dr. Sonuç Zorlu Oğurlu. |
en_US |
dc.description.abstract |
In mathematics, an integrodifferential equation is an equation that involves both
integral and derivative of a function. These equations model many situation ranging
from science and engineering. A particular rich source is electrical circuit analysis.
Different techniques have been evolved for finding the solution of these differential
equations under certain conditions. One of them is to prove the existence and
uniqueness of mixed Volteraa-Fredholm type integral equation with the integral
boundary conditions in Banach Space. This has been worked on by some authors
such as S A Murad from Iraq, H J Zekri from Iraq, S Hadid from UAE.
Keywords: fixed point theorems; sequential fractional derivative; integral boundary
conditions; fractional differential equation |
en_US |
dc.description.abstract |
Öz: Matematikte integrodifferansiyel denklem, bir fonksiyonun hem integralini hem de
türevini içeren bir denklemdir. Bu denklemler birçok durumu bilim ve
mühendislikten modüle eder. Bu diferansiyel denklemlerin belirli koşullar altında
çözümünün bulunması için farklı teknikler geliştirilmiştir. Bunlardan biri, karışık
Volteraa-Fredholm tipi integral denkleminin Banach Uzayındaki integral sınır
koşullarıyla varlığını ve tekliğini kanıtlamaktır. Bu, Irak'tan S A Murad, yine Irak'tan
H J Zekri, Birleşik Arap Emirliği’nden S. Hadid gibi bazı yazarlarca çalışılmıştır.
Anahtar Kelimeler: sabit nokta teoremleri, kesirli türev, integral sınır koşulları,
integrodiferansiyel kesirli denklemler |
en_US |
dc.language.iso |
eng |
en_US |
dc.publisher |
Eastern Mediterranean University (EMU) - Doğu Akdeniz Üniversitesi (DAÜ) |
en_US |
dc.rights |
info:eu-repo/semantics/openAccess |
en_US |
dc.subject |
Mathematics |
en_US |
dc.subject |
Integro-differential equations |
en_US |
dc.subject |
Fixed Point Theorems |
en_US |
dc.subject |
Sequential Fractional Derivative |
en_US |
dc.subject |
Integral Boundary Conditions |
en_US |
dc.subject |
Fractional Differential Equation |
en_US |
dc.title |
Fractional Mixed Volttera - Fredhol Integrodifferential Equation |
en_US |
dc.type |
masterThesis |
en_US |
dc.contributor.department |
Eastern Mediterranean University, Faculty of Arts and Sciences, Dept. of Mathematics |
en_US |