OOIR: Observatory of International Research

Papers

(The H4-Index of Mathematical Methods in the Applied Sciences is 36. The table below lists those papers that are above that threshold based on CrossRef citation counts [max. 250 papers]. The publications cover those that have been published in the past four years, i.e., from 2020-11-01 to 2024-11-01.)

Article	Citations
Artificial neural networking (ANN) analysis for heat and entropy generation in flow of non‐Newtonian fluid between two rotating disks	253
Model‐based comparative study of magnetohydrodynamics unsteady hybrid nanofluid flow between two infinite parallel plates with particle shape effects	151
Abundant exact solutions to a generalized nonlinear Schrödinger equation with local fractional derivative	128
A new eigenvalue problem solver for thermo‐mechanical vibration of Timoshenko nanobeams by an innovative nonlocal finite element method	118
On novel nondifferentiable exact solutions to local fractional Gardner's equation using an effective technique	118
A general fractional formulation and tracking control for immunogenic tumor dynamics	116
Dispersive of propagation wave solutions to unidirectional shallow water wave Dullin–Gottwald–Holm system and modulation instability analysis	109
Almost sectorial operators on Ψ‐Hilfer derivative fractional impulsive integro‐differential equations	82
Reproducing kernel approach for numerical solutions of fuzzy fractional initial value problems under the Mittag–Leffler kernel differential operator	78
Adaptation of kernel functions‐based approach with Atangana–Baleanu–Caputo distributed order derivative for solutions of fuzzy fractional Volterra and Fredholm integrodifferential equations	76
Chaotic behaviors of the prevalence of an infectious disease in a prey and predator system using fractional derivatives	73
Global stability analysis of a fractional SVEIR epidemic model	69
Vibration analysis of carbon nanotube‐reinforced composite microbeams	69
Some new Simpson's type inequalities for coordinated convex functions in quantum calculus	68
Numerical investigation for the fractional nonlinear space‐time telegraph equation via the trigonometric Quintic B‐spline scheme	65
A graded mesh refinement approach for boundary layer originated singularly perturbed time‐delayed parabolic convection diffusion problems	61
A note on approximate controllability of the Hilfer fractional neutral differential inclusions with infinite delay	61
Results concerning to approximate controllability of non‐densely defined Sobolev‐type Hilfer fractional neutral delay differential system	59
Theoretical prospects of fractional order weakly singular Volterra Integro differential equations and their approximations with convergence analysis	58
Dynamics and bifurcations of a discrete‐time Lotka–Volterra model using nonstandard finite difference discretization method	55
Analytical and numerical study of the HIV‐1 infection of CD4⁺ T‐cells conformable fractional mathematical model that causes acquired immunodeficiency syndrome with the effect of antiviral d	55
Mathematical study on bifurcation dynamics and control mechanism of tri‐neuron bidirectional associative memory neural networks including delay	54
A study on fractional COVID‐19 disease model by using Hermite wavelets	47
Global dynamics and bifurcation analysis of a fractional‐order SEIR epidemic model with saturation incidence rate	46
Numerical simulation of telegraph and Cattaneo fractional‐type models using adaptive reproducing kernel framework	46

New approximate analytical solutions for the nonlinear fractional Schrödinger equation with second‐order spatio‐temporal dispersion via double Laplace transform method	46
Bifurcation insight for a fractional‐order stage‐structured predator–prey system incorporating mixed time delays	44
Novel extended mixed controller design for bifurcation control of fractional‐order Myc/E2F/miR‐17‐92 network model concerning delay	43
Fractional residual series for conformable time‐fractional Sawada–Kotera–Ito, Lax, and Kaup–Kupershmidt equations of seventh order	42
Solution of time‐fractional stochastic nonlinear sine‐Gordon equation via finite difference and meshfree techniques	41
A study of the fractal foam drainage model in a microgravity space	40
On Laplace transforms with respect to functions and their applications to fractional differential equations	39
Natural convection nanofluid flow with heat transfer analysis of carbon nanotubes–water nanofluid inside a vertical truncated wavy cone	38
Dynamics of the worm transmission in wireless sensor network in the framework of fractional derivatives	38
Coupling immersed boundary and lattice Boltzmann method for modeling multi‐body interactions subjected to pulsatile flow	37
An analytic study on the approximate solution of a nonlinear time‐fractional Cauchy reaction–diffusion equation with the Mittag–Leffler law	37
Classes of operators in fractional calculus: A case study	36
Optimum buffer stock during preventive maintenance in an imperfect production system	36