Volume 12, Issue 1

Search all International Journal of Dynamics and Control articles

January 2024

Special Issue: Fractional Calculus: Theory, Applications, and Numerics

Issue Editors:

Liping Chen,
Pushpendra Kumar

28 articles in this issue

Investigation of fractional diabetes model involving glucose–insulin alliance scheme
Sagar R. Khirsariya
Snehal B. Rao
Gautam S. Hathiwala
OriginalPaper 14 September 2023 Pages: 1 - 14
Part of 1 collection:

Fractional Calculus: Theory, Applications, and Numerics
Analysis of controllability in Caputo–Hadamard stochastic fractional differential equations with fractional Brownian motion
M. Lavanya
B. Sundara Vadivoo
OriginalPaper 01 July 2023 Pages: 15 - 23
Part of 1 collection:

Fractional Calculus: Theory, Applications, and Numerics
New generalized integral transform on Hilfer–Prabhakar fractional derivatives and its applications
Mohd Khalid
Subhash Alha
OriginalPaper 19 June 2023 Pages: 24 - 31
Part of 1 collection:

Fractional Calculus: Theory, Applications, and Numerics
Controllability of fractional Langevin impulsive system with proportional delay
G. Jothilakshmi
B. Sundara Vadivoo
OriginalPaper 28 September 2023 Pages: 32 - 41
Part of 1 collection:

Fractional Calculus: Theory, Applications, and Numerics
Necessary conditions for \(\Psi \)-Hilfer fractional optimal control problems and \(\Psi \)-Hilfer two-step Lagrange interpolation polynomial
K. Ramalakshmi
B. Sundaravadivoo
OriginalPaper 27 November 2023 Pages: 42 - 55
Part of 1 collection:

Fractional Calculus: Theory, Applications, and Numerics
Impulsive integro-differential systems involving conformable fractional derivative in Banach space
Haribhai R. Kataria
Prakashkumar H. Patel
Vishant Shah
OriginalPaper 16 June 2023 Pages: 56 - 64
Part of 1 collection:

Fractional Calculus: Theory, Applications, and Numerics
Symmetries and exact solution of certain nonlinear fractional ordinary differential equations
C. Uma Maheswari
M. Yogeshwaran
OriginalPaper 26 June 2023 Pages: 65 - 74
Part of 1 collection:

Fractional Calculus: Theory, Applications, and Numerics
Numerical Laplace inverse based on operational matrices for fractional differential equations
G. Jasmine
K. Balaji
R. Aruldoss
OriginalPaper 27 November 2023 Pages: 75 - 84
Part of 1 collection:

Fractional Calculus: Theory, Applications, and Numerics
Maxey–Riley equation: newer perspective
Abhiram Hegade
Varsha Daftardar-Gejji
Sachin Bhalekar
OriginalPaper 27 July 2023 Pages: 85 - 97
Part of 1 collection:

Fractional Calculus: Theory, Applications, and Numerics
On fractional diffusion equation with noise perturbation
C. S. Sridevi
Mabel L. Rajendran
M. Suvinthra
OriginalPaper 14 September 2023 Pages: 98 - 106
Part of 1 collection:

Fractional Calculus: Theory, Applications, and Numerics
BVP for generalized Hilfer integrodifferential equation with positive constant coefficient
Mohammed N. Alkord
Sadikali L. Shaikh
OriginalPaper 19 December 2023 Pages: 107 - 114
Part of 1 collection:

Fractional Calculus: Theory, Applications, and Numerics
Discrete relaxation equations of arbitrary order with periodic boundary conditions
Sangeeta Dhawan
Jagan Mohan Jonnalagadda
OriginalPaper 28 May 2023 Pages: 115 - 124
Part of 1 collection:

Fractional Calculus: Theory, Applications, and Numerics
Existence of a system of fractional order differential equations via generalized contraction mapping in partially ordered Banach space
Vishal Nikam
Ajay Kumar Shukla
Dhananjay Gopal
OriginalPaper 11 July 2023 Pages: 125 - 135
Part of 1 collection:

Fractional Calculus: Theory, Applications, and Numerics
Large deviations for stochastic fractional pantograph differential equation
A. Siva Ranjani
M. Suvinthra
OriginalPaper 13 November 2023 Pages: 136 - 147
Part of 1 collection:

Fractional Calculus: Theory, Applications, and Numerics
Modeling and analysis of Caputo-type fractional-order SEIQR epidemic model
Suvankar Majee
Soovoojeet Jana
D. K. Das
OriginalPaper 24 November 2023 Pages: 148 - 166
Part of 1 collection:

Fractional Calculus: Theory, Applications, and Numerics
Bounds for the blow-up time of solution to a nonlinear viscoelastic equation with fractional damping
Saranya Rayappan
Akilandeeswari Aruchamy
Annapoorani Natarajan
ReviewPaper 21 July 2023 Pages: 167 - 179
Part of 1 collection:

Fractional Calculus: Theory, Applications, and Numerics
A note on existence and exact controllability of fractional stochastic system with finite delay
Om Prakash Kumar Sharma
Ramesh Kumar Vats
Ankit Kumar
OriginalPaper 28 July 2023 Pages: 180 - 189
Part of 1 collection:

Fractional Calculus: Theory, Applications, and Numerics
Controllability of nonlinear fractional Langevin systems using \({\varPsi }\)-Caputo fractional derivative
D. Prabu
P. Suresh Kumar
N. Annapoorani
ReviewPaper 29 August 2023 Pages: 190 - 199
Part of 1 collection:

Fractional Calculus: Theory, Applications, and Numerics
Linearized asymptotic stability of implicit fractional integrodifferential system
C. Kausika
P. Suresh Kumar
N. Annapoorani
OriginalPaper 18 November 2023 Pages: 200 - 210
Part of 1 collection:

Fractional Calculus: Theory, Applications, and Numerics
Direct speed fractional order controller for maximum power tracking on DFIG-based wind turbines during symmetrical voltage dips
B. Garkki
S. Revathi
OriginalPaper 27 July 2023 Pages: 211 - 226
Part of 1 collection:

Fractional Calculus: Theory, Applications, and Numerics
Existence results for sequential fractional integro-differential equations with impulsive conditions
P. Karthikeyan
S. Poornima
OriginalPaper 25 July 2023 Pages: 227 - 236
Part of 1 collection:

Fractional Calculus: Theory, Applications, and Numerics
Solution of space–time fractional diffusion equation involving fractional Laplacian with a local radial basis function approximation
J. M. Revathy
G. Chandhini
OriginalPaper 20 June 2023 Pages: 237 - 245
Part of 1 collection:

Fractional Calculus: Theory, Applications, and Numerics
Complex dynamics of a Caputo derivative-based fractional-order SIR model incorporating saturated incidence and recovery
Sibaji Rit
Soovoojeet Jana
Anupam De
OriginalPaper 26 September 2023 Pages: 246 - 258
Part of 1 collection:

Fractional Calculus: Theory, Applications, and Numerics
A study on controllability of fractional dynamical systems with distributed delays modeled by \(\Omega \)-Hilfer fractional derivatives
S. Jose
S. Naveen
V. Parthiban
OriginalPaper 06 November 2023 Pages: 259 - 270
Part of 1 collection:

Fractional Calculus: Theory, Applications, and Numerics
Analytical approach to study weakly nonlocal fractional Schrödinger equation via novel transform
Lokesh Kumar Yadav
Garima Agarwal
Manjeet Kumari
OriginalPaper 27 June 2023 Pages: 271 - 282
Part of 1 collection:

Fractional Calculus: Theory, Applications, and Numerics
Positive solutions for nonlinear fractional boundary value problems
Debananda Basua
OriginalPaper 20 November 2023 Pages: 283 - 291
Part of 1 collection:

Fractional Calculus: Theory, Applications, and Numerics
Exact solutions of time fractional generalized Burgers–Fisher equation using exp and exponential rational function methods
S. Ramya
K. Krishnakumar
R. Ilangovane
OriginalPaper 28 July 2023 Pages: 292 - 302
Part of 1 collection:

Fractional Calculus: Theory, Applications, and Numerics
Modeling the effect of vaccination in fractional-order epidemic model for infectious disease
Shiv Mangal
O. P. Misra
Joydip Dhar
OriginalPaper 06 November 2023 Pages: 303 - 317
Part of 1 collection:

Fractional Calculus: Theory, Applications, and Numerics

Volume 12, Issue 1

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