| Publication | Date of Publication | Type |
|---|
| A low rank ODE based technique for numerical approximation of lower bounds of structured singular value | 2024-03-25 | Paper |
| Two occurrences of fractional actions in nonlinear dynamics | 2023-12-07 | Paper |
| Generalized heat diffusion equations with variable coefficients and their fractalization from the Black-Scholes equation | 2023-09-29 | Paper |
| Improvement of nonlocal Pennes heat transfer equation in fractal dimensions in the analysis of tumor growth | 2023-07-24 | Paper |
| Modeling of combustion and turbulent jet diffusion flames in fractal dimensions | 2023-06-27 | Paper |
| Oscillating gravity, non-singularity and mass quantization from Moffat stochastic gravity arguments | 2023-06-19 | Paper |
| The Atiyah-Singer index theorem for a family of fractional Dirac operators on spin geometry | 2023-05-23 | Paper |
| Higher-order geodesic equations from non-local Lagrangians and complex backward-forward derivative operators | 2023-01-20 | Paper |
| On a new generalized local fractal derivative operator | 2023-01-12 | Paper |
| Fractal diffusion from a geometric Ricci flow | 2022-11-02 | Paper |
| Nonlocal fractal neutrons transport equation and its implications in nuclear engineering | 2022-10-11 | Paper |
| Nonlinear wave equations from a non-local complex backward–forward derivative operator | 2022-06-17 | Paper |
| Fractal dimension modeling of seismology and earthquakes dynamics | 2022-05-25 | Paper |
| Acceleration in quantum mechanics and electric charge quantization | 2022-04-01 | Paper |
| Fractal dimensions in fluid dynamics and their effects on the Rayleigh problem, the Burger's vortex and the Kelvin-Helmholtz instability | 2022-03-15 | Paper |
| Nonlocal Effects to Neutron Diffusion Equation in a Nuclear Reactor | 2022-02-11 | Paper |
| Nonlinear wave equation in an inhomogeneous medium from non-standard singular Lagrangians functional with two occurrences of integrals | 2021-12-16 | Paper |
| A mapping from Schrödinger equation to Navier-Stokes equations through the product-like fractal geometry, fractal time derivative operator and variable thermal conductivity | 2021-12-16 | Paper |
| https://portal.mardi4nfdi.de/entity/Q3384640 | 2021-12-16 | Paper |
| https://portal.mardi4nfdi.de/entity/Q5860421 | 2021-11-19 | Paper |
| Non-standard magnetohydrodynamics equations and their implications in sunspots | 2021-10-29 | Paper |
| On nonlocal fractal laminar steady and unsteady flows | 2021-10-18 | Paper |
| Different techniques for studying oscillatory behavior of solution of differential equations | 2021-09-10 | Paper |
| Complex Lie algebroids and Finsler manifold in time-dependent fractal dimension and their associated decomplexifications | 2021-07-15 | Paper |
| Microscopic wormholes, extra-dimensions and cold dark matter from N = 2 maximal supergravity with Gauss–Bonnet corrections | 2021-05-14 | Paper |
| Saigo-Maeda operators involving the Appell function, real spectra from symmetric quantum Hamiltonians and violation of the second law of thermodynamics for quantum damped oscillators | 2021-05-04 | Paper |
| Free variable mass nonlocal systems, jerks, and snaps, and their implications in rotating fluids in rockets | 2021-04-16 | Paper |
| On fractional and fractal Einstein’s field equations | 2021-03-18 | Paper |
| Scalar Tensor Cosmology With Kinetic, Gauss-Bonnet and Nonminimal Derivative Couplings and Supersymmetric Loop Corrected Potential | 2021-01-13 | Paper |
| Five-dimensional Brans–Dicke compactified universe dominated by a varying speed of light | 2020-12-01 | Paper |
| Generalized uncertainty principle in astrophysics from Fermi statistical physics arguments | 2020-09-04 | Paper |
| On a new fractional uncertainty relation and its implications in quantum mechanics and molecular physics | 2020-06-21 | Paper |
| On maximal acceleration and quantum acceleratum operator in quantum mechanics | 2019-10-18 | Paper |
| Path integral of oscillating free particle from nonlocal-in-time kinetic energy approach | 2019-10-18 | Paper |
| Nonlocal uncertainty and its implications in quantum mechanics at ultramicroscopic scales | 2019-10-18 | Paper |
| Nonlocal generalized uncertainty principle and its implications in gravity and entropic Verlinde holographic approach | 2019-10-18 | Paper |
| Quantization of non-standard Hamiltonians and the Riemann zeros | 2019-06-20 | Paper |
| Fractional Navier-Stokes equation from fractional velocity arguments and its implications in fluid flows and microfilaments | 2019-06-19 | Paper |
| The Hamilton-Jacobi analysis of powers of singular Lagrangians: a connection between the modified Schrödinger and the Navier-Stokes equations | 2018-11-07 | Paper |
| Classical string field mechanics with non-standard Lagrangians | 2018-11-02 | Paper |
| Path integral formulation of fractionally perturbed Lagrangian oscillators on fractal | 2018-10-24 | Paper |
| Nonlocal approach to nonequilibrium thermodynamics and nonlocal heat diffusion processes | 2018-10-02 | Paper |
| https://portal.mardi4nfdi.de/entity/Q4583209 | 2018-08-28 | Paper |
| Gravitational Field as a Pressure Force from Logarithmic Lagrangians and Non-Standard Hamiltonians: The Case of Stellar Halo of Milky Way | 2018-07-26 | Paper |
| Fractional action cosmology with variable order parameter | 2018-03-14 | Paper |
| Complex backward-forward derivative operator in non-local-in-time Lagrangians mechanics | 2018-02-20 | Paper |
| A family of Emden-Fowler differential equations from a generalized derivative operator | 2018-01-10 | Paper |
| New Metrics from a Fractional Gravitational Field | 2018-01-05 | Paper |
| On nonlocal complexified Schrödinger equation and emergence of discrete quantum mechanics | 2016-11-22 | Paper |
| Fractional variational symmetries of Lagrangians, the fractional Galilean transformation and the modified Schrödinger equation | 2016-10-19 | Paper |
| Fractional variational approach with non-standard power-law degenerate Lagrangians and a generalized derivative operator | 2016-09-07 | Paper |
| A cosmology governed by a fractional differential equation and the generalized Kilbas-Saigo-Mittag-Leffler function | 2016-04-01 | Paper |
| From classical to discrete gravity through exponential non-standard Lagrangians in general relativity | 2016-01-12 | Paper |
| Generalizations of the Klein-Gordon and the Dirac equations from non-standard Lagrangians | 2015-11-19 | Paper |
| Non-standard Lagrangians with higher-order derivatives and the Hamiltonian formalism | 2015-11-19 | Paper |
| Fractional functional with two occurrences of integrals and asymptotic optimal change of drift in the Black-Scholes model | 2015-11-09 | Paper |
| Non-standard Lagrangians in rotational dynamics and the modified Navier-Stokes equation | 2015-09-02 | Paper |
| Fractional Variational Approach for Dissipative Mechanical Systems | 2015-06-29 | Paper |
| A generalized nonlinear oscillator from non-standard degenerate Lagrangians and its consequent Hamiltonian formalism | 2015-06-16 | Paper |
| Non-standard power-law Lagrangians in classical and quantum dynamics | 2015-05-15 | Paper |
| Fractional oscillators from non-standard Lagrangians and time-dependent fractional exponent | 2015-01-30 | Paper |
| Non-standard non-local-in-time Lagrangians in classical mechanics | 2015-01-27 | Paper |
| The fractional kinetic Einstein-Vlasov system and its implications in Bianchi spacetimes geometry | 2015-01-22 | Paper |
| On Perelman’s functional with curvature corrections | 2014-09-02 | Paper |
| Non-standard fractional Lagrangians | 2014-02-27 | Paper |
| Lagrangian and Hamiltonian dynamics with imaginary time | 2013-12-02 | Paper |
| Non-linear dynamics with non-standard Lagrangians | 2013-11-29 | Paper |
| Calculus of variations with hyperdifferential operators from Tabasaki-Takebe-Toda lattice arguments | 2013-11-14 | Paper |
| Fractional complexified field theory from Saxena-Kumbhat fractional integral, fractional derivative of order (\(\alpha, \beta\)) and dynamical fractional integral exponent | 2013-07-05 | Paper |
| Gravitons in fractional action cosmology | 2013-02-04 | Paper |
| https://portal.mardi4nfdi.de/entity/Q4898243 | 2012-12-30 | Paper |
| Glaeske-Kilbas-Saigo fractional integration and fractional Dixmier trace | 2012-08-27 | Paper |
| The fractional white dwarf hydrodynamical nonlinear differential equation and emergence of quark stars | 2012-06-08 | Paper |
| Extended fractional calculus of variations, complexified geodesics and Wong's fractional equations on complex plane and on Lie algebroids | 2012-06-08 | Paper |
| https://portal.mardi4nfdi.de/entity/Q2888372 | 2012-05-30 | Paper |
| https://portal.mardi4nfdi.de/entity/Q2888374 | 2012-05-30 | Paper |
| https://portal.mardi4nfdi.de/entity/Q2888376 | 2012-05-30 | Paper |
| https://portal.mardi4nfdi.de/entity/Q2888377 | 2012-05-30 | Paper |
| Accelerated expansion from a modified-quadratic gravity | 2012-05-09 | Paper |
| The fractional Boltzmann transport equation | 2011-12-18 | Paper |
| Charged Randall–Sundrum Braneworld Type II with Higher Order Curvature Corrections from Superstring Arguments and Dominated by Quintessence | 2011-08-03 | Paper |
| A periodic functional approach to the calculus of variations and the problem of time-dependent damped harmonic oscillators | 2011-07-11 | Paper |
| Fractional variational problems from extended exponentially fractional integral | 2011-06-27 | Paper |
| Oscillating Flat FRW Dark Energy Dominated Cosmology from Periodic Functional Approach | 2011-05-20 | Paper |
| D-dimensional non-singular universe dominated by dark energy | 2011-05-13 | Paper |
| Accelerated brans-dicke universe in higher-derivative induced gravity-like conformally coupling and dominated by Gauss-Bonnet dark energy | 2011-04-05 | Paper |
| Accelerated higher-dimensional cosmology with a traversable static wormhole and a big rip | 2011-03-10 | Paper |
| Fractional Dirac operators and deformed field theory on Clifford algebra | 2010-11-08 | Paper |
| Fractional action-like variational problems in holonomic, non-holonomic and semi-holonomic constrained and dissipative dynamical systems | 2010-11-07 | Paper |
| On the fractional minimal length Heisenberg-Weyl uncertainty relation from fractional Riccati generalized momentum operator | 2010-11-07 | Paper |
| ERRATUM: "COMPLEXIFIED FRACTIONAL HEAT KERNEL AND PHYSICS BEYOND THE SPECTRAL TRIPLET ACTION IN NON-COMMUTATIVE GEOMETRY" | 2010-10-15 | Paper |
| MODIFICATIONS AT LARGE DISTANCES FROM FRACTIONAL AND FRACTAL ARGUMENTS | 2010-09-30 | Paper |
| Accelerated expansion of an anisotropic Brans-Dicke cosmology from nonlinear derivative interaction and Gauss-Bonnet invariant | 2010-09-16 | Paper |
| Dark energy from ``extended modified gravity and Gauss-Bonnet invariant term | 2010-08-23 | Paper |
| A dark energy and phantom energy dilaton-Brans-Dicke multiverse with positive cosmological constant | 2010-08-23 | Paper |
| Living with phantoms fields in a sheet spacetime | 2010-07-06 | Paper |
| Five-dimensional Brans-Dicke \(M^{1}\times R^{3}\times S^{1}\) cosmology with chameleon scalar field | 2010-05-26 | Paper |
| FRACTIONAL DIRAC OPERATORS AND LEFT-RIGHT FRACTIONAL CHAMSEDDINE–CONNES SPECTRAL BOSONIC ACTION PRINCIPLE IN NONCOMMUTATIVE GEOMETRY | 2010-04-08 | Paper |
| Accelerated cosmic expansion from Gauss-Bonnet curvature corrections, nonminimal coupling, and infrared second-order gauge gravity | 2010-03-08 | Paper |
| FRACTIONAL QUANTUM EULER–CAUCHY EQUATION IN THE SCHRÖDINGER PICTURE, COMPLEXIFIED HARMONIC OSCILLATORS AND EMERGENCE OF COMPLEXIFIED LAGRANGIAN AND HAMILTONIAN DYNAMICS | 2010-01-25 | Paper |
| https://portal.mardi4nfdi.de/entity/Q3653589 | 2009-12-27 | Paper |
| COMPLEXIFIED FRACTIONAL HEAT KERNEL AND PHYSICS BEYOND THE SPECTRAL TRIPLET ACTION IN NONCOMMUTATIVE GEOMETRY | 2009-11-23 | Paper |
| MODIFIED BRANEWORLD COSMOLOGIES IN THE PRESENCE OF STRINGY CORRECTIONS COUPLED TO A CANONICAL SCALAR FIELD | 2009-08-10 | Paper |
| MAXWELL BRANE COSMOLOGY WITH HIGHER-ORDER STRING CURVATURE CORRECTIONS, A NONMINIMALLY COUPLED SCALAR FIELD, DARK MATTER–DARK ENERGY INTERACTION AND A VARYING SPEED OF LIGHT | 2009-06-30 | Paper |
| FRACTIONAL LAGRANGIAN FORMULATION OF GENERAL RELATIVITY AND EMERGENCE OF COMPLEX, SPINORIAL AND NONCOMMUTATIVE GRAVITY | 2009-04-14 | Paper |
| https://portal.mardi4nfdi.de/entity/Q3597735 | 2009-02-09 | Paper |
| https://portal.mardi4nfdi.de/entity/Q3597766 | 2009-02-09 | Paper |
| https://portal.mardi4nfdi.de/entity/Q3597792 | 2009-02-09 | Paper |
| FRACTIONAL FIELD THEORIES FROM MULTI-DIMENSIONAL FRACTIONAL VARIATIONAL PROBLEMS | 2009-01-28 | Paper |
| Fractional actionlike variational problems | 2009-01-23 | Paper |
| EFFECTIVE 3-BRANE BRANS–DICKE COSMOLOGY | 2008-10-17 | Paper |
| https://portal.mardi4nfdi.de/entity/Q3502209 | 2008-05-23 | Paper |
| https://portal.mardi4nfdi.de/entity/Q3502235 | 2008-05-23 | Paper |
| https://portal.mardi4nfdi.de/entity/Q5439669 | 2008-02-11 | Paper |
| Necessary optimality conditions for fractional action‐like integrals of variational calculus with Riemann–Liouville derivatives of order (α, β) | 2008-01-08 | Paper |
| https://portal.mardi4nfdi.de/entity/Q3412075 | 2006-12-05 | Paper |
| https://portal.mardi4nfdi.de/entity/Q5489025 | 2006-09-25 | Paper |
| https://portal.mardi4nfdi.de/entity/Q5489026 | 2006-09-25 | Paper |
| https://portal.mardi4nfdi.de/entity/Q5489027 | 2006-09-25 | Paper |
| https://portal.mardi4nfdi.de/entity/Q5488266 | 2006-09-14 | Paper |
| https://portal.mardi4nfdi.de/entity/Q5488267 | 2006-09-14 | Paper |
| https://portal.mardi4nfdi.de/entity/Q5488270 | 2006-09-14 | Paper |
| https://portal.mardi4nfdi.de/entity/Q5486083 | 2006-09-06 | Paper |
| https://portal.mardi4nfdi.de/entity/Q5486084 | 2006-09-06 | Paper |
| https://portal.mardi4nfdi.de/entity/Q5476368 | 2006-07-14 | Paper |
| https://portal.mardi4nfdi.de/entity/Q3369889 | 2006-02-06 | Paper |
| https://portal.mardi4nfdi.de/entity/Q5716040 | 2006-01-06 | Paper |
| https://portal.mardi4nfdi.de/entity/Q5716041 | 2006-01-06 | Paper |
