Zachary Denton

Research Interests

Fractional differential equations and systems, ordinary and partial differential equations, impulsive differential equations and systems, monotone method, quasilinearization method.

Recent Publications

• Zachary Denton, Aghalaya Vatsala (2023). (Existence in the large for Caputo fractional multi-order systems with initial conditions). 3, pp. 260-274. Foundations.
• Dominic Clemence, Zachary Denton (2023). (The Limited Validity of the Fractional Euler Finite Difference Method and an Alternative Definition of the Caputo Fractional Derivative to Justify Modification of the Method). 3, pp. 831-841. WSEAS Transactions of Mathematics.
• Zachary Denton (2021). (COVID-19: Expanding the Culture of Teaching Mathematics ). 6, pp. 75. Frontiers in Communication Culture and Communication .
• Stephanie Kelly, Alfredo Romero Aguirre, Jennifer Morrow, Zachary Denton, Johnny Ducking (2020). (Instructor Misbehaviors and Math Anxiety). 33, pp. 27-40. Communication Reports.
• Zachary Denton, Juan Ramirez (2020). (Quasilinearization method for finite systems of nonlinear RL fractional differential equations). (6) 40, pp. 667–683. Opuscula Mathematica.
• Stephanie Kelly, Liping Liu, Zachary Denton, Clinton Lee, Stephen Croucher (2018). (Instructional Immediacy in the Chinese Quantitative Reasoning Classroom). 118, pp. 104-112. School Science and Mathematics.
• Stephanie Kelly, Zachary Denton (2018). (Introducing intercultural communication by introducing Deaf culture). 34, pp. 57-64. Carolinas Communication Annual.
• Zachary Denton, Juan Ramirez (2018). (Monotone Method for Finite Systems of Nonlinear Riemann-Liouville Fractional Integro-Differential Equations). (2) 18, pp. 130-143. Nonlinear Dynamics and Systems Theory.
• Zachary Denton, Juan Ramirez (2017). (Existence of minimal and maximal solutions to RL fractional integro-differential initial value problems). (2) 37, pp. 705-724. Opuscula Mathematica.
• Kossi Edoh, Thomas Redd, Bampia Bangura, Zachary Denton, Alisha Williams (2016). (College Algebra and Trigonometry Workbook). (College Algebra and Trigonometry Workbook) (1) 1, pp. 1-222. Pearson.
• Zachary Denton, Juan Ramirez (2016). (Generalized Monotone Method for Multi-Order 2-Systems of Riemann-Liouville Fractional Differential Equations). (3) 16, pp. 246--259. Nonlinear Dynamics and Systems Theory.
• Zachary Denton (2016). (Monotone Method for Riemann-Liouville Multi-Order Fractional Differential Systems). (2) 36, Opuscula Mathematica.
• Zachary Denton (2015). (Monotone Method for Multi-Order 2-Systems of Riemann-Liouville Fractional Differential Equations). (2) 19, Communications in Applied Analysis.
• Stephanie Kelly, Christopher Rice, Bryce Wyatt, Johnny Ducking, Zachary Denton (2015). (Teacher immediacy and decreased student quantitative reasoning anxiety: The mediating effect of perception). 26, pp. 171-186. Communication Education.
• Stephanie Kelly, Jorge Gaytan, Patrick MacDonald, Robin Collins, Zachary Denton (2014). (An investigation of student apprehension: Testing student predictions of classroom aptitude via brain hemisphere dominance). 40, pp. 30-35. Business Teacher Education Journal.
• Paramanathan Varatharajah, Barbara Tankersley, Janis Oldham, Zachary Denton, Liping Liu (2014). (Calculus I Workbook (Early Transcendentals)). Pearson Custom Publishing.
• Zachary Denton (2014). (Generalized Extension of the Quasilinearization Method for Riemann-Liouville Fractional Differential Equations.). (2-3) 23, pp. 333-349. Dynamic Systems and Applications.
• Zachary Denton, Aghalaya Vatsala (2012). (Generalized Quasilinearization Method for RL Fractional Differential Equations.). (4) 19, pp. 637-652. Nonlinear Studies.
• Zachary Denton, Aghalaya Vatsala (2011). ( Monotone iterative technique for finite systems of nonlinear Riemann-Liouville fractional differential equations). (3) 31, pp. 327-339. Opuscula Mathematica.
• Zachary Denton, Ping Wong Ng, Aghalaya Vatsala (2011). (Quasilinearization method via lower and upper solutions for Riemann-Liouville fractional differential equations). (3) 11, pp. 239-251. Nonlinear Dynamics and Systems Theory.
• Zachary Denton, Aghalaya Vatsala (2010). (Fractional integral inequalities and applications). (3) 59, pp. 1087--1094. Computers and Mathematics with Applications.