Numerical treatments for systems of differential equations and their optimal control / (Record no. 83359)
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| 000 -LEADER | |
|---|---|
| fixed length control field | 03258cam a2200337 a 4500 |
| 003 - CONTROL NUMBER IDENTIFIER | |
| control field | EG-GiCUC |
| 005 - DATE AND TIME OF LATEST TRANSACTION | |
| control field | 20250223032854.0 |
| 008 - FIXED-LENGTH DATA ELEMENTS--GENERAL INFORMATION | |
| fixed length control field | 211129s2021 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 | Ph.D |
| 099 ## - LOCAL FREE-TEXT CALL NUMBER (OCLC) | |
| Classification number | Cai01.12.17.Ph.D.2021.Se.N |
| 100 0# - MAIN ENTRY--PERSONAL NAME | |
| Personal name | Seham Mahyoub Dabwan Khaled Almekhlafi |
| 245 10 - TITLE STATEMENT | |
| Title | Numerical treatments for systems of differential equations and their optimal control / |
| Statement of responsibility, etc. | Seham Mahyoub Dabwan Khaled Almekhlafi ; Supervised Laila F. Abdelal , Nasser H. Sweilam |
| 246 15 - VARYING FORM OF TITLE | |
| Title proper/short title | معالجات عددية لأنظمة المعادلات التفاضلية و التحكم الامثل لها |
| 260 ## - PUBLICATION, DISTRIBUTION, ETC. | |
| Place of publication, distribution, etc. | Cairo : |
| Name of publisher, distributor, etc. | Seham Mahyoub Dabwan Khaled Almekhlafi , |
| Date of publication, distribution, etc. | 2021 |
| 300 ## - PHYSICAL DESCRIPTION | |
| Extent | 334 P. : |
| Other physical details | charts ; |
| Dimensions | 25cm |
| 502 ## - DISSERTATION NOTE | |
| Dissertation note | Thesis (Ph.D.) - Cairo University - Faculty of Science - Department of Mathematics |
| 520 ## - SUMMARY, ETC. | |
| Summary, etc. | This thesis is a contribution to numerical treatments for novel biological models of differential equations and their optimal control.These models are the fractional nonlinear Tuberculosis with multi-strain model, the hybrid fractional-order Coronavirus (2019-nCov) model, the fractional Tuberculosis infection model including the impact of Diabetes and resistant strains, the fractional Cancer treatment based on a synergy between anti-angiogenic and immune cell therapies model, the fractional-order model of Malaria, the fractional Tumor model under immune suppression. Some of these models are introduced here as fractional order with time delay models, these models are the fractional delay model of Tuberculosis with multi-strain and the fractional Cancer treatment based on the synergy between anti-angiogenic and immune cell therapies model. Also, the hybrid fractional-order stochastic Coronavirus (2019-nCov) model is studied. The concepts of the fractional derivatives in this thesis are Caputo, Grünwald- Letnikov, Riemann-Liouville fractional derivatives. Moreover, we used some new definitions for fractional derivatives such as Atangana-Baleanu-Caputo and hybrid fractional derivatives. General formulations for the fractional optimal control problems are introduced. A kind of Pontryagin{u2019}s maximum principle in fractional order case is used and the necessary optimality conditions are extended to the hybrid fractionalorder derivative. Moreover, we introduced in this thesis numerical treatments for two chaotic systems.These systems are the hybrid fractional-order finance system and the hybrid fractional Bloch system with time delay. Finally, we introduced numerical treatments for some novel partial differential equation models such as the variable-order fractional Klein Gordon equation, the two-dimensional linear and nonlinear fractional Cable equation, and the complex order fractional Burgers{u2019} equations |
| 530 ## - ADDITIONAL PHYSICAL FORM AVAILABLE NOTE | |
| Additional physical form available note | Issued also as CD |
| 653 #4 - INDEX TERM--UNCONTROLLED | |
| Uncontrolled term | Coronavirus (2019-nCov) |
| 653 #4 - INDEX TERM--UNCONTROLLED | |
| Uncontrolled term | Optimal control |
| 653 #4 - INDEX TERM--UNCONTROLLED | |
| Uncontrolled term | Systems of differential equations |
| 700 0# - ADDED ENTRY--PERSONAL NAME | |
| Personal name | Laila Fahmy Abdelal , |
| Relator term | |
| 700 0# - ADDED ENTRY--PERSONAL NAME | |
| Personal name | Nasser Hasan 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 | Shimaa |
| 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.Ph.D.2021.Se.N | 01010110084878000 | 22.09.2023 | Thesis | ||
| Dewey Decimal Classification | المكتبة المركزبة الجديدة - جامعة القاهرة | مخـــزن الرســائل الجـــامعية - البدروم | 11.02.2024 | Cai01.12.17.Ph.D.2021.Se.N | 01020110084878000 | 22.09.2023 | CD - Rom | 84878.CD |