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Special Issue: System Analysis and Mathematical Application of Fractional Order Equations

Guest Editors

Prof. Ivanka Stamova
Department of Mathematics, University of Texas at San Antonio, San Antonio, TX, 78249, USA
Email: Ivanka.stamova@utsa.edu


Prof. Gani Stamov
Department of Mathematics, University of Texas at San Antonio, San Antonio, TX, 78249, USA
Email: Gani.stamov@utsa.edu

Manuscript Topics


Research on fractional order systems has made significant impact in various areas of science and engineering such as physics, biology, environmental sciences, computer sciences, mechanics and finance. The analysis of the fundamental and qualitative properties of such systems is an intensively developed research area. Numerous researchers reported excellent results related to existence, uniqueness, stability, almost periodicity of solutions. In addition, in recent years many applications of systems that follow fractional order dynamics are frequently encountered, which deserve increasing attention. The purpose of this special issue is to provide a platform for researchers to disseminate original research in the fields of fractional order systems, especially related to the problems of analysis, modeling and applications of fractional order equations. Potential topics include, but are not limited to:
• Fractional differential systems
• Fractional difference systems
• Fractional delayed systems
• Fractional impulsive systems
• Fractional systems on time scale
• Existence
• Uniqueness
• Parameter’s dependence
• Stability analysis
• Stabilization
• Control
• Lyapunov theory
• Hybrid systems on time scale
• Self-triggered systems
• Periodicity
• Almost periodicity
• Asymptotic behaviour
• Applications in science and technologies


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Paper Submission

All manuscripts will be peer-reviewed before their acceptance for publication. The deadline for manuscript submission is 30 September 2024

Published Papers(21)

Research article
Existence and uniqueness of nonlinear fractional differential equations with the Caputo and the Atangana-Baleanu derivatives: Maximal, minimal and Chaplygin approaches
Abdon Atangana
2024, Volume 9, Issue 10: 26307-26338. doi: 10.3934/math.20241282
Abstract HTML PDF Viewed (836)
Research article
Resonance analysis and time-delay feedback controllability for a fractional horizontal nonlinear roller system
Zhoujin Cui Xiaorong Zhang Tao Lu
2024, Volume 9, Issue 9: 24832-24853. doi: 10.3934/math.20241209
Abstract HTML PDF Cited (1) Viewed (775)
Research article
A robust numerical study on modified Lumpy skin disease model
Parveen Kumar Sunil Kumar Badr Saad T. Alkahtani Sara S. Alzaid
2024, Volume 9, Issue 8: 22941-22985. doi: 10.3934/math.20241116
Abstract HTML PDF Cited (2) Viewed (926)
Research article
A reliable numerical algorithm for fractional Lienard equation arising in oscillating circuits
Jagdev Singh Jitendra Kumar Devendra Kumar Dumitru Baleanu
2024, Volume 9, Issue 7: 19557-19568. doi: 10.3934/math.2024954
Abstract HTML PDF Viewed (874)
Research article
Proximity algorithms for the L1L2/TVα image denoising model
Donghong Zhao Ruiying Huang Li Feng
2024, Volume 9, Issue 6: 16643-16665. doi: 10.3934/math.2024807
Abstract HTML PDF Cited (1) Viewed (862)
Research article
Ulam-Hyers stability and existence results for a coupled sequential Hilfer-Hadamard-type integrodifferential system
Subramanian Muthaiah Manigandan Murugesan Muath Awadalla Bundit Unyong Ria H. Egami
2024, Volume 9, Issue 6: 16203-16233. doi: 10.3934/math.2024784
Abstract HTML PDF Cited (2) Viewed (1039)
Research article
Tritrophic fractional model with Holling III functional response
Anel Esquivel-Navarrete Jorge Sanchez-Ortiz Gabriel Catalan-Angeles Martin P. Arciga-Alejandre
2024, Volume 9, Issue 6: 15937-15948. doi: 10.3934/math.2024771
Abstract HTML PDF Viewed (852)
Research article
Existence results for IBVP of (p,q)-fractional difference equations in Banach space
Mouataz Billah Mesmouli Nahed Mustafa Dahshan Wael W. Mohammed
2024, Volume 9, Issue 6: 15748-15760. doi: 10.3934/math.2024760
Abstract HTML PDF Cited (3) Viewed (1012)
Research article
Innovative approaches to fractional modeling: Aboodh transform for the Keller-Segel equation
Nader Al-Rashidi
2024, Volume 9, Issue 6: 14949-14981. doi: 10.3934/math.2024724
Abstract HTML PDF Viewed (892)
Research article
A Grammian matrix and controllability study of fractional delay integro-differential Langevin systems
Hasanen A. Hammad Mohammed E. Dafaalla Kottakkaran Sooppy Nisar
2024, Volume 9, Issue 6: 15469-15485. doi: 10.3934/math.2024748
Abstract HTML PDF Viewed (947)
Research article
Criteria of existence and stability of an n-coupled system of generalized Sturm-Liouville equations with a modified ABC fractional derivative and an application to the SEIR influenza epidemic model
Elkhateeb S. Aly Mohammed A. Almalahi Khaled A. Aldwoah Kamal Shah
2024, Volume 9, Issue 6: 14228-14252. doi: 10.3934/math.2024691
Abstract HTML PDF Cited (2) Viewed (956)
Research article
A novel computational fractional modeling approach for the global dynamics and optimal control strategies in mitigating Marburg infection
Meroua Medjoudja Mohammed El hadi Mezabia Muhammad Bilal Riaz Ahmed Boudaoui Saif Ullah Fuad A. Awwad
2024, Volume 9, Issue 5: 13159-13194. doi: 10.3934/math.2024642
Abstract HTML PDF Cited (7) Viewed (1247)
Research article
Well-posedness and Ulam-Hyers stability results of solutions to pantograph fractional stochastic differential equations in the sense of conformable derivatives
Wedad Albalawi Muhammad Imran Liaqat Fahim Ud Din Kottakkaran Sooppy Nisar Abdel-Haleem Abdel-Aty
2024, Volume 9, Issue 5: 12375-12398. doi: 10.3934/math.2024605
Abstract HTML PDF Cited (4) Viewed (1202)
Research article
Solvability of product of n-quadratic Hadamard-type fractional integral equations in Orlicz spaces
Saud Fahad Aldosary Mohamed M. A. Metwali
2024, Volume 9, Issue 5: 11039-11050. doi: 10.3934/math.2024541
Abstract HTML PDF Viewed (913)
Research article
Enhanced general conformable controller based on Lyapunov technique for DC-DC static converters: Application to a solar system
Omar kahouli Mourad Elloumi Omar Naifar Abdellatif Ben Makhlouf Yassine Bouteraa Sarra Elgharbi
2024, Volume 9, Issue 5: 10698-10716. doi: 10.3934/math.2024522
Abstract HTML PDF Cited (3) Viewed (1204)
Research article
Existence results for a system of sequential differential equations with varying fractional orders via Hilfer-Hadamard sense
Muath Awadalla Manigandan Murugesan Subramanian Muthaiah Bundit Unyong Ria H Egami
2024, Volume 9, Issue 4: 9926-9950. doi: 10.3934/math.2024486
Abstract HTML PDF Cited (1) Viewed (1035)
Research article
Extended existence results for FDEs with nonlocal conditions
Saleh Fahad Aljurbua
2024, Volume 9, Issue 4: 9049-9058. doi: 10.3934/math.2024440
Abstract HTML PDF Cited (4) Viewed (1163)
Research article
Existence theory and stability analysis of neutral ψ–Hilfer fractional stochastic differential system with fractional noises and non-instantaneous impulses
Yanli Ma Hamza Khalil Akbar Zada Ioan-Lucian Popa
2024, Volume 9, Issue 4: 8148-8173. doi: 10.3934/math.2024396
Abstract HTML PDF Cited (3) Viewed (1251)
Research article
Fractional optimal control analysis of Covid-19 and dengue fever co-infection model with Atangana-Baleanu derivative
Asma Hanif Azhar Iqbal Kashif Butt Tariq Ismaeel
2024, Volume 9, Issue 3: 5171-5203. doi: 10.3934/math.2024251
Abstract HTML PDF Cited (7) Viewed (1561)
Research article
Efficient results on unbounded solutions of fractional Bagley-Torvik system on the half-line
Sabri T. M. Thabet Imed Kedim Miguel Vivas-Cortez
2024, Volume 9, Issue 2: 5071-5087. doi: 10.3934/math.2024246
Abstract HTML PDF Viewed (1105)