k-Fractional Extension of h-Hadamard Integrals and Derivatives

In this paper, we present a generalization types of the h-Hadamard integrals and derivatives parameterized by k. The h-Hadamard integrals and derivatives are themselves generalizations of the Hadamard integrals and derivatives, defined in relation to a continuous function h. We have also developed t...

Full description

Saved in:
Bibliographic Details
Published in:Journal of Al-Qadisiyah for Computer Science and Mathematics Vol. 17; no. 3
Main Authors: Talib Khathem, Sajad, Hamza Geem, Methaq
Format: Journal Article
Language:English
Published: 30.09.2025
ISSN:2074-0204, 2521-3504
Online Access:Get full text
Tags: Add Tag
No Tags, Be the first to tag this record!
Abstract In this paper, we present a generalization types of the h-Hadamard integrals and derivatives parameterized by k. The h-Hadamard integrals and derivatives are themselves generalizations of the Hadamard integrals and derivatives, defined in relation to a continuous function h. We have also developed the concepts of k-gamma and k-beta, which correlate with the definitions of k-fractional h-Hadamard integrals and derivatives. The paper includes various theorems, propositions, properties, and illustrative examples
AbstractList In this paper, we present a generalization types of the h-Hadamard integrals and derivatives parameterized by k. The h-Hadamard integrals and derivatives are themselves generalizations of the Hadamard integrals and derivatives, defined in relation to a continuous function h. We have also developed the concepts of k-gamma and k-beta, which correlate with the definitions of k-fractional h-Hadamard integrals and derivatives. The paper includes various theorems, propositions, properties, and illustrative examples
Author Hamza Geem, Methaq
Talib Khathem, Sajad
Author_xml – sequence: 1
  givenname: Sajad
  surname: Talib Khathem
  fullname: Talib Khathem, Sajad
– sequence: 2
  givenname: Methaq
  surname: Hamza Geem
  fullname: Hamza Geem, Methaq
BookMark eNotkMtOwzAURC1UJErpH7DIDzhcO3Zsb5BQ6UuqxKZ768axIdA6YEcV_D1pYTVHsxiNzi2ZxD56Qu4ZlNxUIB7ev1w-lhy4LJkqKy6YuCJTLjmjlQQxGRmUoMBB3JB5zl0DQijJTA1T8vhBVwnd0PURD8Xye_Axj1z0oXijG2zxiKkttnHwrwkPucDYFs8-dSccupPPd-Q6jLWf_-eM7FfL_WJDdy_r7eJpR51hgoqAdcONZhBkUNx4CLVXKLSsgSmJ0OoGdGgla0zQXpmmclqePyICGlfNiPibdanPOflgP1M3PvuxDOzFgr1YsGcLlil7sVD9AmU7Ur8
ContentType Journal Article
DBID AAYXX
CITATION
DOI 10.29304/jqcsm.2025.17.32414
DatabaseName CrossRef
DatabaseTitle CrossRef
DatabaseTitleList CrossRef
DeliveryMethod fulltext_linktorsrc
EISSN 2521-3504
ExternalDocumentID 10_29304_jqcsm_2025_17_32414
GroupedDBID AAYXX
ALMA_UNASSIGNED_HOLDINGS
CITATION
OK1
ID FETCH-LOGICAL-c914-4fa6b29810f5f729e0f6e7a48560175a0d8b08fd51b9f8e79b3c854751aa0a9c3
ISSN 2074-0204
IngestDate Thu Nov 27 00:36:56 EST 2025
IsDoiOpenAccess false
IsOpenAccess true
IsPeerReviewed false
IsScholarly false
Issue 3
Language English
License http://creativecommons.org/licenses/by-nc-nd/4.0
LinkModel OpenURL
MergedId FETCHMERGED-LOGICAL-c914-4fa6b29810f5f729e0f6e7a48560175a0d8b08fd51b9f8e79b3c854751aa0a9c3
OpenAccessLink https://jqcsm.qu.edu.iq/index.php/journalcm/article/download/2414/1108
ParticipantIDs crossref_primary_10_29304_jqcsm_2025_17_32414
PublicationCentury 2000
PublicationDate 2025-09-30
PublicationDateYYYYMMDD 2025-09-30
PublicationDate_xml – month: 09
  year: 2025
  text: 2025-09-30
  day: 30
PublicationDecade 2020
PublicationTitle Journal of Al-Qadisiyah for Computer Science and Mathematics
PublicationYear 2025
SSID ssib044751960
ssib016479590
ssib032177102
ssib046619541
Score 1.9232593
Snippet In this paper, we present a generalization types of the h-Hadamard integrals and derivatives parameterized by k. The h-Hadamard integrals and derivatives are...
SourceID crossref
SourceType Index Database
Title k-Fractional Extension of h-Hadamard Integrals and Derivatives
Volume 17
hasFullText 1
inHoldings 1
isFullTextHit
isPrint
journalDatabaseRights – providerCode: PRVHPJ
  databaseName: ROAD: Directory of Open Access Scholarly Resources
  customDbUrl:
  eissn: 2521-3504
  dateEnd: 99991231
  omitProxy: false
  ssIdentifier: ssib044751960
  issn: 2074-0204
  databaseCode: M~E
  dateStart: 20090101
  isFulltext: true
  titleUrlDefault: https://road.issn.org
  providerName: ISSN International Centre
link http://cvtisr.summon.serialssolutions.com/2.0.0/link/0/eLvHCXMwtV1Lb9QwELZo6aEXBIKKt3LgVrmNX7F9QUKoBQStQFpVvUWO7WiXlrTdLNXCgd_O2E6yUbWq6IFLFNnRJNY3GX8zHo8RepMXznhCLeZGMsxVbbHJbYGrynli4IeyMTRw8kUeH6vTU_21WzFt43ECsmnUcqkv_yvU0AZgh62zd4B7EAoNcA-gwxVgh-s_AX-GD-dpt0IoGbyMGeodKcRgZ8yPEDj4lKpEnLddKvI8HnJ23SUUriGr5_ibcbN29stMY2ZifxrEYBxSwkZfA3Zg6hPg-dXu52nsSSHo78aN4ua_ze4Hn7qO_GJqrsZxCCr6pIneXNGQ2Rm22qaZJbUBOcBMdG29vZUjvWLrzDhQkJwHO35l21AtgIo9IveA-hG-mrb6pfobs9mQYwjeTZRTRillkFISWUYpG-g-lUIHK3j056C3P6G0mharVUMG7poclVcLtRHBYA39HLiNFvFw1GHwaXdmfPH-ms8fsZ8RjZk8RA86SLN3SW8eoXu-eYzejnUmG3Qmu6izlc5kg85kgHU20pknaHJ4MHn_EXcHa2CrCce8NkVFtSJ5LWpwrnxeF14aroJ3LoXJnapyVTtBKl0rL3XFrBJh8MbkRlu2gzabi8Y_RRmtHCMUHmOUca8dOKtOFfDfC5BlvH-GcD_e8jKVTylvA-b5HZ9_gbZXuvgSbS7mP_0rtGWvF7N2_jqi-xexC2SC
linkProvider ISSN International Centre
openUrl ctx_ver=Z39.88-2004&ctx_enc=info%3Aofi%2Fenc%3AUTF-8&rfr_id=info%3Asid%2Fsummon.serialssolutions.com&rft_val_fmt=info%3Aofi%2Ffmt%3Akev%3Amtx%3Ajournal&rft.genre=article&rft.atitle=k-Fractional+Extension+of+h-Hadamard+Integrals+and+Derivatives&rft.jtitle=Journal+of+Al-Qadisiyah+for+Computer+Science+and+Mathematics&rft.au=Talib+Khathem%2C+Sajad&rft.au=Hamza+Geem%2C+Methaq&rft.date=2025-09-30&rft.issn=2074-0204&rft.eissn=2521-3504&rft.volume=17&rft.issue=3&rft_id=info:doi/10.29304%2Fjqcsm.2025.17.32414&rft.externalDBID=n%2Fa&rft.externalDocID=10_29304_jqcsm_2025_17_32414
thumbnail_l http://covers-cdn.summon.serialssolutions.com/index.aspx?isbn=/lc.gif&issn=2074-0204&client=summon
thumbnail_m http://covers-cdn.summon.serialssolutions.com/index.aspx?isbn=/mc.gif&issn=2074-0204&client=summon
thumbnail_s http://covers-cdn.summon.serialssolutions.com/index.aspx?isbn=/sc.gif&issn=2074-0204&client=summon