| European Vanilla Option Pricing Model of Fractional Order without Singular Kernel |
26 |
| Homotopy Perturbation rho-Laplace Transform Method and Its Application to the Fractional Diffusion Equation and the Fractional Diffusion-Reaction Equation |
12 |
| Multi-Point and Anti-Periodic Conditions for Generalized Langevin Equation with Two Fractional Orders |
11 |
| Some New Generalizations for Exponentially s-Convex Functions and Inequalities via Fractional Operators |
11 |
| A Novel Method for Solutions of Fourth-Order Fractional Boundary Value Problems |
11 |
| New Estimates for Exponentially Convex Functions via Conformable Fractional Operator |
10 |
| Generalized Memory: Fractional Calculus Approach |
10 |
| Inequalities Pertaining Fractional Approach through Exponentially Convex Functions |
9 |
| Nonlocal Cauchy Problem via a Fractional Operator Involving Power Kernel in Banach Spaces |
9 |
| Novel Fractional Models Compatible with Real World Problems |
9 |
| A Fractional Measles Model Having Monotonic Real Statistical Data for Constant Transmission Rate of the Disease |
8 |
| Non-Gaussian Distributions to Random Walk in the Context of Memory Kernels |
7 |
| Residual Power Series Method for Fractional Swift-Hohenberg Equation |
7 |
| Existence Theorems for Mixed Riemann-Liouville and Caputo Fractional Differential Equations and Inclusions with Nonlocal Fractional Integro-Differential Boundary Conditions |
6 |
| Fatigue-Induced Cole Electrical Impedance Model Changes of Biceps Tissue Bioimpedance |
6 |
| A Fractional B-spline Collocation Method for the Numerical Solution of Fractional Predator-Prey Models |
6 |
| Fractional Derivatives with the Power-Law and the Mittag-Leffler Kernel Applied to the Nonlinear Baggs-Freedman Model |
5 |
| Does a Fractal Microstructure Require a Fractional Viscoelastic Model? |
5 |
| Option Pricing Models Driven by the Space-Time Fractional Diffusion: Series Representation and Applications |
5 |
| Nonlinear Vibration of a Nonlocal Nanobeam Resting on Fractional-Order Viscoelastic Pasternak Foundations |
5 |
| Implementation and Convergence Analysis of Homotopy Perturbation Coupled With Sumudu Transform to Construct Solutions of Local-Fractional PDEs |
5 |
| Lyapunov Characterization of the Fractional Nonlinear Systems with Exogenous Input |
5 |
| Fractional Mass-Spring-Damper System Described by Generalized Fractional Order Derivatives |
4 |
| Random Variables and Stable Distributions on Fractal Cantor Sets |
4 |
| Impulsive Fractional-Like Differential Equations: Practical Stability and Boundedness with Respect to h-Manifolds |
3 |
| Comb Model: Non-Markovian versus Markovian |
3 |
| Fractional Velocity as a Tool for the Study of Non-Linear Problems |
3 |
| Fractional Diffusion Models for the Atmosphere of Mars |
3 |
| A Modification Fractional Homotopy Perturbation Method for Solving Helmholtz and Coupled Helmholtz Equations on Cantor Sets |
3 |
| Approximate Solutions of the Damped Wave Equation and Dissipative Wave Equation in Fractal Strings |
3 |
| Analogues to Lie Method and Noether's Theorem in Fractal Calculus |
3 |
| Study of Fractal Dimensions of Microcrystalline Cellulose Obtained by the Spray-Drying Method |
3 |
| Statistical Mechanics Involving Fractal Temperature |
3 |
| Determination of the Fractal Dimension of the Fracture Network System Using Image Processing Technique |
2 |
| Moment Bound of Solution to a Class of Conformable Time-Fractional Stochastic Equation |
2 |
| Exploration of Filled-In Julia Sets Arising from Centered Polygonal Lacunary Functions |
2 |
| Solving Helmholtz Equation with Local Fractional Derivative Operators |
2 |
| Fractal Logistic Equation |
2 |
| Caputo Fractional Differential Equations with Non-Instantaneous Random Erlang Distributed Impulses |
2 |
| Fractal Calculus of Functions on Cantor Tartan Spaces |
2 |
| Tempered Fractional Equations for Quantum Transport in Mesoscopic One-Dimensional Systems with Fractal Disorder |
2 |
| Dynamic Analysis of the Viscoelastic Pipeline Conveying Fluid with an Improved Variable Fractional Order Model Based on Shifted Legendre Polynomials |
2 |
| Poiseuille Flow of a Non-Local Non-Newtonian Fluid with Wall Slip: A First Step in Modeling Cerebral Microaneurysms |
2 |
| Cabinet of Curiosities: The Interesting Geometry of the Angle beta = arccos ((3 phi-1)/4) |
1 |
| Characterization of the Local Growth of Two Cantor-Type Functions |
1 |
| A New Fractional Integration Operational Matrix of Chebyshev Wavelets in Fractional Delay Systems |
1 |
| Integral Representations and Algebraic Decompositions of the Fox-Wright Type of Special Functions |
1 |
| Julia and Mandelbrot Sets for Dynamics over the Hyperbolic Numbers |
1 |
| The Fractal Calculus for Fractal Materials |
1 |
| Fractal Image Interpolation: A Tutorial and New Result |
1 |
