Numerical techniques for solving some types of fractional order optimal control problems / (Record no. 57705)
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| 000 -LEADER | |
|---|---|
| fixed length control field | 02425cam a2200349 a 4500 |
| 003 - CONTROL NUMBER IDENTIFIER | |
| control field | EG-GiCUC |
| 005 - DATE AND TIME OF LATEST TRANSACTION | |
| control field | 20250223031545.0 |
| 008 - FIXED-LENGTH DATA ELEMENTS--GENERAL INFORMATION | |
| fixed length control field | 160908s2016 ua d f m 000 0 eng d |
| 040 ## - CATALOGING SOURCE | |
| Original cataloging agency | EG-GiCUC |
| Language of cataloging | eng |
| Transcribing agency | EG-GiCUC |
| 041 0# - LANGUAGE CODE | |
| Language code of text/sound track or separate title | eng |
| 049 ## - LOCAL HOLDINGS (OCLC) | |
| Holding library | Deposite |
| 097 ## - Thesis Degree | |
| Thesis Level | M.Sc |
| 099 ## - LOCAL FREE-TEXT CALL NUMBER (OCLC) | |
| Classification number | Cai01.12.17.M.Sc.2016.Yo.N |
| 100 0# - MAIN ENTRY--PERSONAL NAME | |
| Personal name | Yousef Saleh Mohammed Almaghrebi |
| 245 10 - TITLE STATEMENT | |
| Title | Numerical techniques for solving some types of fractional order optimal control problems / |
| Statement of responsibility, etc. | Yousef Saleh Mohammed Almaghrebi ; Supervised Laila F. Abdelal , Nasser H. Sweilam , Abdelhameed M. Nagy |
| 246 15 - VARYING FORM OF TITLE | |
| Title proper/short title | تقنيات عددية حلل بعض أنواع مسائل التحكم األمثل ذات الرتب الكسرية |
| 260 ## - PUBLICATION, DISTRIBUTION, ETC. | |
| Place of publication, distribution, etc. | Cairo : |
| Name of publisher, distributor, etc. | Yousef Saleh Mohammed Almaghrebi , |
| Date of publication, distribution, etc. | 2016 |
| 300 ## - PHYSICAL DESCRIPTION | |
| Extent | 87 P. : |
| Other physical details | charts ; |
| Dimensions | 25cm |
| 502 ## - DISSERTATION NOTE | |
| Dissertation note | Thesis (M.Sc.) - Cairo University - Faculty of Science - Department of Mathematics |
| 520 ## - SUMMARY, ETC. | |
| Summary, etc. | In this thesis, two existing mathematical models to describe the human immun- ode ciency virus (HIV) disease are studied. The adopted models are described by a system of nonlinear ordinary di erential equations (ODEs). Optimal con- trol for HIV models is presented. The Pontryagin's Maximum Principle (PMP) is used to derive the optimality system (OS) which is solved numerically using the nonstandard nite di erence method (NSFDM), standard nite di erence method (SFDM) and forward-backward sweep method (FBSM). Existences and uniqueness for the solutions of the mathematical models are proved. Also, two general HIV models are presented as fractional-order mathematical models. The fractional derivative is de ned in the sense of Caputo de nition. The shifted Chebyshev spectral method (SCSM) is used to study the OS for the rst model. Two di erent numerical methods are introduced to study the op- timal control problems of both models. These methods are iterative optimal control method (IOCM) and the generalized Euler method (GEM). |
| 530 ## - ADDITIONAL PHYSICAL FORM AVAILABLE NOTE | |
| Additional physical form available note | Issued also as CD |
| 653 #4 - INDEX TERM--UNCONTROLLED | |
| Uncontrolled term | Fractional calculus |
| 653 #4 - INDEX TERM--UNCONTROLLED | |
| Uncontrolled term | Mathematical model of HIV |
| 653 #4 - INDEX TERM--UNCONTROLLED | |
| Uncontrolled term | Optimal Control theory |
| 700 0# - ADDED ENTRY--PERSONAL NAME | |
| Personal name | Abdelhameed Mohamed Nagy , |
| Relator term | |
| 700 0# - ADDED ENTRY--PERSONAL NAME | |
| Personal name | Laila Fahmy Abdelal , |
| Relator term | |
| 700 0# - ADDED ENTRY--PERSONAL NAME | |
| Personal name | Nasser Hassan Sweilam , |
| Relator term | |
| 856 ## - ELECTRONIC LOCATION AND ACCESS | |
| Uniform Resource Identifier | <a href="http://172.23.153.220/th.pdf">http://172.23.153.220/th.pdf</a> |
| 905 ## - LOCAL DATA ELEMENT E, LDE (RLIN) | |
| Cataloger | Nazla |
| Reviser | Revisor |
| 905 ## - LOCAL DATA ELEMENT E, LDE (RLIN) | |
| Cataloger | Soheir |
| Reviser | Cataloger |
| 942 ## - ADDED ENTRY ELEMENTS (KOHA) | |
| Source of classification or shelving scheme | Dewey Decimal Classification |
| Koha item type | Thesis |
| Source of classification or shelving scheme | Not for loan | Home library | Current library | Date acquired | Full call number | Barcode | Date last seen | Koha item type | Copy number |
|---|---|---|---|---|---|---|---|---|---|
| Dewey Decimal Classification | المكتبة المركزبة الجديدة - جامعة القاهرة | قاعة الرسائل الجامعية - الدور الاول | 11.02.2024 | Cai01.12.17.M.Sc.2016.Yo.N | 01010110069672000 | 22.09.2023 | Thesis | ||
| Dewey Decimal Classification | المكتبة المركزبة الجديدة - جامعة القاهرة | مخـــزن الرســائل الجـــامعية - البدروم | 11.02.2024 | Cai01.12.17.M.Sc.2016.Yo.N | 01020110069672000 | 22.09.2023 | CD - Rom | 69672.CD |