OOIR: Observatory of International Research

Papers

(The H4-Index of Mathematical Methods in the Applied Sciences is 32. 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 2021-04-01 to 2025-04-01.)

Article	Citations
Using decomposition of the nonlinear operator for solving non‐differentiable problems	268
A high‐order predictor–corrector method for initial value problems with fractional derivative involving Mittag–Leffler kernel	183
Existence and uniqueness of solutions of differential equations with respect to non‐additive measures	129
Solvability of the boundary‐value problem for a mixed equation involving hyper‐Bessel fractional differential operator and bi‐ordinal Hilfer fractional derivative	118
Phragmén–Lindelöf alternative results in time‐dependent double‐diffusive Darcy plane flow	83
Issue Information	78
Preface to a thematic special issue of methods of mathematics and fractional calculus	74
	64
Stability of the 3D Boussinesq equations with partial dissipation near the hydrostatic balance	62
Renormalization group method for solving initial value problem of slow‐fast system	55
Necessary and sufficient conditions for mean‐square bounded consensus of multiagent systems with additive noise	54
Three‐dimensional generalized analytic signal associated with linear canonical transform in Clifford biquaternion domain	51
Propagation of waves in a hydroelastic shell‐viscous liquid system, in the presence of gas bubbles	50
Multiplicity and concentration of nontrivial solutions for Kirchhoff–Schrödinger–Poisson system with steep potential well	47
Nonlinear lattices from the physics of ecosystems: The Lefever–Lejeune nonlinear lattice in ℤ²	47
Asymptotic behavior of the two‐phase flow around the planar Couette flow in three‐dimensional space	44
A nonlocal Kirchhoff diffusion problem with singular potential and logarithmic nonlinearity	43
Riemann‐Hilbert approach for the integrable discrete Hirota equation with bounded boundary conditions in the presence of a discrete spectrum	43
American barrier swaption pricing problem of exponential Ornstein–Uhlenbeck model in uncertain financial market	42
Global Well‐Posedness and Large‐Time Behavior for Inhomogeneous Incompressible Navier–Stokes System in the Exterior of a Cylinder	41
A new exploration on the approximate controllability results for Hilfer fractional differential inclusions of order 1<μ<2 with Clarke's subdifferential type	41
The multigrid discretization of mixed discontinuous Galerkin method for the biharmonic eigenvalue problem	41
Retracted: Dissipative‐based synchronization of Markovian jumping complex dynamical networks with additive time‐varying delays, reaction‐diffusion terms, uncertainties, and sampled‐data control	40
The σ‐evolution equations with friction and unbounded coefficients	38
Existence of coupled optical vortex solitons propagating in a quadratic nonlinear medium	37

Nonlinear evolution dam problems in an unbounded domain	36
Synchronization control of quaternion‐valued inertial memristor‐based neural networks via adaptive method	35
Analysis of global behavior in an age‐structured epidemic model with nonlocal dispersal and distributed delay	34
Time‐optimal feedback control of nonlocal Hilfer fractional state‐dependent delay inclusion with Clarke's subdifferential	34
Pullback exponential attractors for some non‐autonomous dissipative dynamical systems	33
On a m(x)$$ m(x) $$‐polyharmonic Kirchhoff problem without any growth near 0 and Ambrosetti–Rabinowitz conditions	33
Retention profiles of multiparticle filtration in porous media	33
Parameter‐robust higher‐order time‐accurate computational method for singularly perturbed time‐dependent semilinear convection‐diffusion PDEs with discontinuous data	32