OOIR: Observatory of International Research

Papers

(The H4-Index of Mathematical Methods in the Applied Sciences is 40. 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 2020-04-01 to 2024-04-01.)

Article	Citations
Artificial neural networking (ANN) analysis for heat and entropy generation in flow of non‐Newtonian fluid between two rotating disks	255
Model‐based comparative study of magnetohydrodynamics unsteady hybrid nanofluid flow between two infinite parallel plates with particle shape effects	141
Abundant exact solutions to a generalized nonlinear Schrödinger equation with local fractional derivative	120
A general fractional formulation and tracking control for immunogenic tumor dynamics	112
On novel nondifferentiable exact solutions to local fractional Gardner's equation using an effective technique	111
Dispersive of propagation wave solutions to unidirectional shallow water wave Dullin–Gottwald–Holm system and modulation instability analysis	102
On the solution of a boundary value problem associated with a fractional differential equation	101
A new eigenvalue problem solver for thermo‐mechanical vibration of Timoshenko nanobeams by an innovative nonlocal finite element method	100
Almost sectorial operators on Ψ‐Hilfer derivative fractional impulsive integro‐differential equations	94
Simpson and Newton type inequalities for convex functions via newly defined quantum integrals	78
Existence of solutions for some functional integrodifferential equations with nonlocal conditions	74
Chaotic behaviors of the prevalence of an infectious disease in a prey and predator system using fractional derivatives	73
Mittag‐Leffler stability and adaptive impulsive synchronization of fractional order neural networks in quaternion field	68
Vibration analysis of carbon nanotube‐reinforced composite microbeams	66
Results on the existence of Hilfer fractional neutral evolution equations with infinite delay via measures of noncompactness	64
Global stability analysis of a fractional SVEIR epidemic model	64
A novel model of nonlocal thermoelasticity with time derivatives of higher order	63
Exact and approximate solutions of time‐fractional models arising from physics via Shehu transform	63
Numerical investigation for the fractional nonlinear space‐time telegraph equation via the trigonometric Quintic B‐spline scheme	62
Adaptation of kernel functions‐based approach with Atangana–Baleanu–Caputo distributed order derivative for solutions of fuzzy fractional Volterra and Fredholm integrodifferential equations	62
Some new Simpson's type inequalities for coordinated convex functions in quantum calculus	62
Reproducing kernel approach for numerical solutions of fuzzy fractional initial value problems under the Mittag–Leffler kernel differential operator	58
Results concerning to approximate controllability of non‐densely defined Sobolev‐type Hilfer fractional neutral delay differential system	58
Mathematical analysis of memristor through fractal‐fractional differential operators: A numerical study	58
A note on approximate controllability of the Hilfer fractional neutral differential inclusions with infinite delay	57

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	54
Homotopy perturbation method for N/MEMS oscillators	50
Mathematical study on bifurcation dynamics and control mechanism of tri‐neuron bidirectional associative memory neural networks including delay	50
Dynamics and bifurcations of a discrete‐time Lotka–Volterra model using nonstandard finite difference discretization method	50
Numerical simulation of telegraph and Cattaneo fractional‐type models using adaptive reproducing kernel framework	48
A graded mesh refinement approach for boundary layer originated singularly perturbed time‐delayed parabolic convection diffusion problems	45
Efficacy of injectable rib height on the heat transfer and entropy generation in the microchannel by affecting slip flow	44
Optical soliton solutions for the generalized Kudryashov equation of propagation pulse in optical fiber with power nonlinearities by three integration algorithms	44
The analysis of a time delay fractional COVID‐19 model via Caputo type fractional derivative	44
Numerical simulation for the mixed convective flow of non‐Newtonian fluid with activation energy and entropy generation	44
Theoretical prospects of fractional order weakly singular Volterra Integro differential equations and their approximations with convergence analysis	44
Nanofluid flow through microchannel with a triangular corrugated wall: Heat transfer enhancement against entropy generation intensification	43
Fractional residual series for conformable time‐fractional Sawada–Kotera–Ito, Lax, and Kaup–Kupershmidt equations of seventh order	42
New approximate analytical solutions for the nonlinear fractional Schrödinger equation with second‐order spatio‐temporal dispersion via double Laplace transform method	42
Analysis of hydrothermal characteristics of magnetic Al₂O₃‐H₂O nanofluid within a novel wavy enclosure during natural convection process considering internal heat gene	41
Fangzhu (方诸): An ancient Chinese nanotechnology for water collection from air: History, mathematical insight, promises, and challenges	40
Higher order mixture nonlocal gradient theory of wave propagation	40