# Fractional Differential Equations Solutions

**Type:** Topics  
**Canonical URL:** https://scholariq.org/topics/fractional-differential-equations-solutions/

## Facts

| Field | Value |
| --- | --- |
| Description | This cluster of papers focuses on the modeling, analysis, and applications of anomalous diffusion using fractional calculus, nonlinear equations, and the homotopy analysis method. It explores phenomena such as random walk, fractional derivatives, time-fractional diffusion equations, single particle tracking in biological cells, and diffusion in crowded environments. |
| Domain | Physical Sciences |
| Field | Mathematics |
| OpenAlex ID | t10288 |
| Works | 33 |

## Topic papers all

Showing 15 of 33.

- [Some physical applications of fractional Schrödinger equation](https://scholariq.org/papers/some-physical-applications-of-fractional-schrodinger-equation/)
- [Space–time fractional Schrödinger equation with time-independent potentials](https://scholariq.org/papers/space-time-fractional-schrodinger-equation-with-time-independent-potentials/)
- [Generalized fractional Schrödinger equation with space-time fractional derivatives](https://scholariq.org/papers/generalized-fractional-schrodinger-equation-with-space-time-fractional/)
- [Some solutions to the space fractional Schrödinger equation using momentum representation method](https://scholariq.org/papers/some-solutions-to-the-space-fractional-schrodinger-equation-using-momentum/)
- [Unsteady flow of viscoelastic fluid with fractional Maxwell model in a channel](https://scholariq.org/papers/unsteady-flow-of-viscoelastic-fluid-with-fractional-maxwell-model-in-a-channel/)
- [Axial Couette flow of two kinds of fractional viscoelastic fluids in an annulus](https://scholariq.org/papers/axial-couette-flow-of-two-kinds-of-fractional-viscoelastic-fluids-in-an-annulus/)
- [Convex Lyapunov functions for stability analysis of fractional order systems](https://scholariq.org/papers/convex-lyapunov-functions-for-stability-analysis-of-fractional-order-systems/)
- [Theoretical analysis of the velocity field, stress field and vortex sheet of generalized second order fluid with fractional anomalous diffusion](https://scholariq.org/papers/theoretical-analysis-of-the-velocity-field-stress-field-and-vortex-sheet-of/)
- [Fractional Calculus and Its Applications in Applied Mathematics and Other Sciences](https://scholariq.org/papers/fractional-calculus-and-its-applications-in-applied-mathematics-and-other/)
- [Homotopy perturbation method to time-fractional diffusion equation with a moving boundary condition](https://scholariq.org/papers/homotopy-perturbation-method-to-time-fractional-diffusion-equation-with-a-moving/)
- [The time fractional heat conduction equation in the general orthogonal curvilinear coordinate and the cylindrical coordinate systems](https://scholariq.org/papers/the-time-fractional-heat-conduction-equation-in-the-general-orthogonal/)
- [Approximate analytical solution for the fractional modified KdV by differential transform method](https://scholariq.org/papers/approximate-analytical-solution-for-the-fractional-modified-kdv-by-differential/)
- [Some exact solutions to Stefan problems with fractional differential equations](https://scholariq.org/papers/some-exact-solutions-to-stefan-problems-with-fractional-differential-equations/)
- [Computation of Fractional Order Derivative and Integral via Power Series Expansion and Signal Modelling](https://scholariq.org/papers/computation-of-fractional-order-derivative-and-integral-via-power-series/)
- [A computational method for solving optimal control and parameter estimation of linear systems using Haar wavelets](https://scholariq.org/papers/a-computational-method-for-solving-optimal-control-and-parameter-estimation-of/)

## Topic primary papers

Showing 15 of 22.

- [Space–time fractional Schrödinger equation with time-independent potentials](https://scholariq.org/papers/space-time-fractional-schrodinger-equation-with-time-independent-potentials/)
- [Generalized fractional Schrödinger equation with space-time fractional derivatives](https://scholariq.org/papers/generalized-fractional-schrodinger-equation-with-space-time-fractional/)
- [Unsteady flow of viscoelastic fluid with fractional Maxwell model in a channel](https://scholariq.org/papers/unsteady-flow-of-viscoelastic-fluid-with-fractional-maxwell-model-in-a-channel/)
- [Axial Couette flow of two kinds of fractional viscoelastic fluids in an annulus](https://scholariq.org/papers/axial-couette-flow-of-two-kinds-of-fractional-viscoelastic-fluids-in-an-annulus/)
- [Theoretical analysis of the velocity field, stress field and vortex sheet of generalized second order fluid with fractional anomalous diffusion](https://scholariq.org/papers/theoretical-analysis-of-the-velocity-field-stress-field-and-vortex-sheet-of/)
- [Fractional Calculus and Its Applications in Applied Mathematics and Other Sciences](https://scholariq.org/papers/fractional-calculus-and-its-applications-in-applied-mathematics-and-other/)
- [Homotopy perturbation method to time-fractional diffusion equation with a moving boundary condition](https://scholariq.org/papers/homotopy-perturbation-method-to-time-fractional-diffusion-equation-with-a-moving/)
- [The time fractional heat conduction equation in the general orthogonal curvilinear coordinate and the cylindrical coordinate systems](https://scholariq.org/papers/the-time-fractional-heat-conduction-equation-in-the-general-orthogonal/)
- [Approximate analytical solution for the fractional modified KdV by differential transform method](https://scholariq.org/papers/approximate-analytical-solution-for-the-fractional-modified-kdv-by-differential/)
- [Some exact solutions to Stefan problems with fractional differential equations](https://scholariq.org/papers/some-exact-solutions-to-stefan-problems-with-fractional-differential-equations/)
- [A new Hepatitis B model in light of asymptomatic carriers and vaccination study through Atangana–Baleanu derivative](https://scholariq.org/papers/a-new-hepatitis-b-model-in-light-of-asymptomatic-carriers-and-vaccination-study/)
- [Solving the fractional nonlinear Klein-Gordon equation by means of the homotopy analysis method](https://scholariq.org/papers/solving-the-fractional-nonlinear-klein-gordon-equation-by-means-of-the-homotopy/)
- [Fractional Calculus and Its Applications](https://scholariq.org/papers/fractional-calculus-and-its-applications/)
- [Numerical simulations and modeling of MHD boundary layer flow and heat transfer dynamics in Darcy-forchheimer media with distributed fractional-order derivatives](https://scholariq.org/papers/numerical-simulations-and-modeling-of-mhd-boundary-layer-flow-and-heat-transfer/)
- [Some properties of the Mittag-Leffler functions and their relation with the Wright functions](https://scholariq.org/papers/some-properties-of-the-mittag-leffler-functions-and-their-relation-with-the/)

---
Source: ScholarIQ — public research metadata, principally OpenAlex. See https://scholariq.org/sources/ for provenance and https://scholariq.org/methodology/ for what these figures mean.