Publications
My research publications span Scientific Machine Learning, neural networks, fractional-order dynamical systems, numerical methods, and control theory.
The publication list and citation information below are periodically synchronized from my research records.
Research Profiles
31
Publications
0
Citations
4
Publication Years
2026
31
Controllability of Time-Varying Stochastic Fractional Dynamical Systems with Distributed Delays in Control
Communications on Applied Mathematics and Computation (2026)
30
CONTROLLABILITY OF THE TIME-VARYING FRACTIONAL DYNAMICAL SYSTEMS HAVING MULTIPLE DELYAS IN CONTROL WITH CAPUTO FRACTIONAL DERIVATIVE
Fractals, 34(08) (2026)
29
Constrained physics informed deep implicit neural network for ordinary and partial differential equations
Mathematics and Computers in Simulation, 241, 104-133 (2026)
2025
28
Spectral coefficient learning physics informed neural network for time-dependent fractional parametric differential problems
Arxiv (2025)
27
Solution representation and a generalised physics-informed neural network for $$\psi $$-Caputo-type fractional time-varying systems
Nonlinear Dynamics, 113(15), 19125-19157 (2025)
26
Reachability of time‐varying fractional dynamical systems with prescribed control
Asian Journal of Control, 27(5), 2436-2447 (2025)
25
New results about controllability and stability of ψ-Caputo-type stochastic fractional integro-differential systems with control delay
Physica Scripta, 100(2), 025233 (2025)
24
Neural fractional order differential equations
Expert Systems with Applications, 267, 126041 (2025)
23
L1-predictor–corrector method for $$\psi $$-Caputo type fractional differential equations
Computational and Applied Mathematics, 44(5) (2025)
22
Controllability of time‐varying fractional dynamical systems with prescribed control
Mathematical Methods in the Applied Sciences, 48(4), 4365-4384 (2025)
21
An improved physics informed neural network with theory of functional connections for fractional differential equations
Engineering Analysis with Boundary Elements, 178, 106281 (2025)
2024
20
Some novel analyses of the Caputo-type singular three-point fractional boundary value problems
The Journal of Analysis, 32(2), 637-658 (2024)
19
Physics informed neural network based scheme and its error analysis for <i>ψ</i>-Caputo type fractional differential equations
Physica Scripta, 99(9), 096002 (2024)
18
Observability of Time-Varying Fractional Dynamical Systems with Caputo Fractional Derivative
Mediterranean Journal of Mathematics, 21(3) (2024)
17
Neural Fractional Order Differential Equations with Adjoint Based Training
SSRN (2024)
16
15
Forecasting of HIV/AIDS in South Africa using 1990 to 2021 data: novel integer- and fractional-order fittings
International Journal of Dynamics and Control, 12(7), 2247-2263 (2024)
14
Controllability of time-varying fractional dynamical systems with distributed delays in control
Physica Scripta, 99(6), 065218 (2024)
13
Controllability of time-varying fractional dynamical systems
Journal of Taibah University for Science, 18(1) (2024)
12
Controllability of the time-varying fractional dynamical systems with a single delay in control
Nonlinear Dynamics, 112(10), 8281-8297 (2024)
11
An operational matrix approach with Vieta-Fibonacci polynomial for solving generalized Caputo fractal-fractional differential equations
Ain Shams Engineering Journal, 15(5), 102678 (2024)
10
A novel optimization-based physics-informed neural network scheme for solving fractional differential equations
Engineering with Computers, 40(2), 855-865 (2024)
9
A novel numerical approach for time-varying impulsive fractional differential equations using theory of functional connections and neural network
Expert Systems with Applications, 238, 121750 (2024)
8
A novel method to approximate fractional differential equations based on the theory of functional connections
Numerical Algorithms, 95(1), 527-549 (2024)
7
A novel L1-Predictor-Corrector method for the numerical solution of the generalized-Caputo type fractional differential equations
Mathematics and Computers in Simulation, 220, 462-480 (2024)
6
A Chebyshev neural network-based numerical scheme to solve distributed-order fractional differential equations
Computers & Mathematics with Applications, 164, 150-165 (2024)
2023
5
The hybrid average subtraction and standard deviation based optimizer
Advances in Engineering Software, 176, 103387 (2023)
4
Implementation of statistical techniques to analyze agriculture data
AIP Conference Proceedings, 2797, 070004 (2023)
3
A novel numerical scheme for fractional differential equations using extreme learning machine
Physica A: Statistical Mechanics and its Applications, 622, 128887 (2023)
2
A neural networks-based numerical method for the generalized Caputo-type fractional differential equations
Mathematics and Computers in Simulation, 213, 302-323 (2023)
1
A case study of monkeypox disease in the United States using mathematical modeling with real data
Mathematics and Computers in Simulation, 213, 444-465 (2023)