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 (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.
• Zachary Denton, Aghalaya Vatsala (Existence in the large for Caputo fractional multi-order systems with initial conditions).