on some fractional problems

الموضوعات

علوم تطبيقية وتكنولوجية

الملخص

The objective of this thesis is to give some existence results for various classes of initialvalue problem and boundary value problems for nonlinear fractional differential equationsand coupled system involving a various kind of fractional-order derivatives in Banach Spaces.For this purpose, the technique used is to reduce the study of our problem to the research ofa fixed point of an integral operator. The obtained results are based on some standard fixedpoint theorems and mönch fixed point theorem combined with the technique of measures ofnoncompactness, as well as the technique of topological degree theory. We have also provideda illustrative example to each of our considered problems to show the validity of conditionsand justify the efficiency of our established results.Key words and phrases :Fractional differential equation, Coupled fractional differentialsystem, Fractionalq-difference equation, Caputo fractional derivative, Caputo-Hadamardfractional derivative, Hilfer fractional derivative, fractionalq-derivative, boundary value pro-blems, initial value problem, Banach space, fixed-point, Kuratowski measure of noncompact-ness, existence, uniqueness, topological degree theory, condensing mapsAMS Subject Classification :26A33, 34A08, 34B15.

روابط وملفات

التعريف والنوع

رقم الوثيقة

f3bf15c8-699c-4184-95d1-08bc737ec89f

رقم العقد

0

نوع الوسائط

Crawler

نوع المحتوى

الرسائل العلمية

صيغة المصدر

رسائل دكتوراة

نوع الملف

pdf text

أسماء الملفات

2005223_1.pdf

بيانات النشر

ألقاب المؤلفين

[{"name_ar":"Abdellatif Boutiara","title_ar":"اعداد","title_en":"Preparation"},{"name_ar":"Kaddour Guerbati ","title_ar":"اشراف","title_en":"Supervision"},{"name_ar":"Maamar Benbachir ","title_ar":"اشراف","title_en":"Supervision"}]

اللغة

French

المصدر والدورية

اسم المصدر

on some fractional problems

المحتوى والصفحات

عدد الصفحات

0

كلمات الباحثين

Fractionalq-differenc: 26A33, 34A08, 34B15, fractionel, initialvalue, problems

إشراف وإعداد

الإشراف

Kaddour Guerbati , Maamar Benbachir

الإعداد

Abdellatif Boutiara

الاقتباسات الببليوغرافية