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العنوان
On the generalized fractional calculus and its applications /
المؤلف
Al-Khatib, Hazar Mohamad Khir.
هيئة الاعداد
باحث / Hazar Mohamad Khir Al-Khatib
مشرف / Prof. Dr. Mahmoud M El-Borai.
مشرف / Prof. Dr. Hussein Ali Hussein Salem
مشرف / Dr. Ahmad. Mahmoud S.A
الموضوع
Calculus. Applications.
تاريخ النشر
2024.
عدد الصفحات
68 p. :
اللغة
الإنجليزية
الدرجة
الدكتوراه
التخصص
الرياضيات
تاريخ الإجازة
10/1/2024
مكان الإجازة
جامعة الاسكندريه - كلية العلوم - Mathematics
الفهرس
Only 14 pages are availabe for public view

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Abstract

In this chapter we introduce the idea allowed us to evaluate the fractional integral and fractional derivative by using Cauchy repeated integral formula, also we write the relation between the fractional order and integral order in the derivative case, we show the behavior of the derivative of power function, we answer the question of the order can be commute.This chapter,we introduce the general fractional integro-partial di erential equations with respect to functions are studied We establish the existence and uniqueness theorems without any conditions on the characteristic from of the principal of the part di erential operators. This means that we shell study ill-posed problems. Our results are obtained by using the parabolic transform Some classes of abstract nonlinear fractional abstract linear integral equations with respect to functions are studied. Closed operators with integrated sem groups are considered.