**Commenced**in January 2007

**Frequency:**Monthly

**Edition:**International

**Paper Count:**2837

# Search results for: Fractional diﬀerential equation

##### 2837 Multiple Positive Solutions for Boundary Value Problem of Nonlinear Fractional Differential Equation

**Authors:**
A. Guezane-Lakoud,
S. Bensebaa

**Abstract:**

**Keywords:**
positive solution,
fractional caputo derivative,
Banach contraction principle,
Avery and Peterson fixed point theorem

##### 2836 Operational Matrix Method for Fuzzy Fractional Reaction Diffusion Equation

**Authors:**
Sachin Kumar

**Abstract:**

**Keywords:**
fractional PDE,
fuzzy valued function,
diffusion equation,
Legendre polynomial,
spectral method

##### 2835 Reduced Differential Transform Methods for Solving the Fractional Diffusion Equations

**Authors:**
Yildiray Keskin,
Omer Acan,
Murat Akkus

**Abstract:**

**Keywords:**
fractional diffusion equations,
Caputo fractional derivative,
reduced differential transform method,
partial

##### 2834 Fundamental Solutions for Discrete Dynamical Systems Involving the Fractional Laplacian

**Authors:**
Jorge Gonzalez Camus,
Valentin Keyantuo,
Mahamadi Warma

**Abstract:**

**Keywords:**
discrete fractional Laplacian,
explicit representation of solutions,
fractional heat and wave equations,
fundamental

##### 2833 Analytical Solutions of Time Space Fractional, Advection-Dispersion and Whitham-Broer-Kaup Equations

**Authors:**
Muhammad Danish Khan,
Imran Naeem,
Mudassar Imran

**Abstract:**

**Keywords:**
modified Riemann-Liouville fractional derivative,
lie-symmetries,
optimal system,
invariant solutions

##### 2832 Modeling the Compound Interest Dynamics Using Fractional Differential Equations

**Authors:**
Muath Awadalla,
Maen Awadallah

**Abstract:**

**Keywords:**
compound interest,
fractional differential equation,
hadamard fractional derivative,
optimization

##### 2831 Solutions of Fractional Reaction-Diffusion Equations Used to Model the Growth and Spreading of Biological Species

**Authors:**
Kamel Al-Khaled

**Abstract:**

**Keywords:**
fractional partial differential equations,
reaction-diﬀusion equations,
adomian decomposition,
biological species

##### 2830 Numerical Solution of Space Fractional Order Solute Transport System

**Authors:**
Shubham Jaiswal

**Abstract:**

**Keywords:**
spatial fractional order advection-dispersion equation,
second-kind shifted Chebyshev polynomial,
collocation method,
conservative system,
non-conservative system

##### 2829 Caputo-Type Fuzzy Fractional Riccati Differential Equations with Fuzzy Initial Conditions

**Authors:**
Trilok Mathur,
Shivi Agarwal

**Abstract:**

**Keywords:**
Caputo-type fuzzy fractional derivative,
Fractional Riccati differential equations,
Laplace-Adomian-Pade method,
Mittag Leffler function

##### 2828 Fractional Euler Method and Finite Difference Formula Using Conformable Fractional Derivative

**Authors:**
Ramzi B. Albadarneh

**Abstract:**

**Keywords:**
conformable fractional derivative,
finite difference formula,
fractional derivative,
finite difference formula

##### 2827 Exactly Fractional Solutions of Nonlinear Lattice Equation via Some Fractional Transformations

**Authors:**
A. Zerarka,
W. Djoudi

**Abstract:**

**Keywords:**
fractional transformations,
nonlinear equation,
travelling wave solutions,
lattice equation

##### 2826 Application of Fractional Model Predictive Control to Thermal System

**Authors:**
Aymen Rhouma,
Khaled Hcheichi,
Sami Hafsi

**Abstract:**

*.*

**Keywords:**
fractional model predictive control,
fractional order systems,
thermal system,
predictive control

##### 2825 Backstepping Design and Fractional Differential Equation of Chaotic System

**Authors:**
Ayub Khan,
Net Ram Garg,
Geeta Jain

**Abstract:**

**Keywords:**
backstepping method,
fractional order,
synchronization,
chaotic system

##### 2824 B Spline Finite Element Method for Drifted Space Fractional Tempered Diffusion Equation

**Authors:**
Ayan Chakraborty,
BV. Rathish Kumar

**Abstract:**

**Keywords:**
B-spline finite element,
error estimates,
Gronwall's lemma,
stability,
tempered fractional

##### 2823 Numerical Solution of Space Fractional Order Linear/Nonlinear Reaction-Advection Diffusion Equation Using Jacobi Polynomial

**Authors:**
Shubham Jaiswal

**Abstract:**

**Keywords:**
space fractional order linear/nonlinear reaction-advection diffusion equation,
shifted Jacobi polynomials,
operational matrix,
collocation method,
Caputo derivative

##### 2822 Numerical Solutions of Fractional Order Epidemic Model

**Authors:**
Sadia Arshad,
Ayesha Sohail,
Sana Javed,
Khadija Maqbool,
Salma Kanwal

**Abstract:**

**Keywords:**
Fractional diﬀerential equation,
Numerical simulations,
epidemic model,
transmission dynamics

##### 2821 Linear fractional differential equations for second kind modified Bessel functions

**Authors:**
Jorge Olivares,
Fernando Maass,
Pablo Martin

**Abstract:**

**Keywords:**
Caputo,
modified Bessel functions,
hypergeometric,
linear fractional differential equations,
transform Laplace

##### 2820 An Efficient Collocation Method for Solving the Variable-Order Time-Fractional Partial Differential Equations Arising from the Physical Phenomenon

**Authors:**
Haniye Dehestani,
Yadollah Ordokhani

**Abstract:**

**Keywords:**
collocation method,
fractional partial differential equations,
legendre-laguerre functions,
pseudo-operational matrix of integration

##### 2819 Study and Solving Partial Differential Equation of Danel Equation in the Vibration Shells

**Authors:**
Hesamoddin Abdollahpour,
Roghayeh Abdollahpour,
Elham Rahgozar

**Abstract:**

**Keywords:**
large amplitude,
free vibrations,
analytical solution,
Danell Equation,
diagram of phase plane

##### 2818 Nonhomogeneous Linear Fractional Differential Equations Will Bessel Functions of the First Kind Giving Hypergeometric Functions Solutions

**Authors:**
Fernando Maass,
Pablo Martin,
Jorge Olivares

**Abstract:**

**Keywords:**
Caputo,
fractional calculation,
hypergeometric,
linear differential equations

##### 2817 Lie Symmetry Treatment for Pricing Options with Transactions Costs under the Fractional Black-Scholes Model

**Authors:**
B. F. Nteumagne,
E. Pindza,
E. Mare

**Abstract:**

**Keywords:**
fractional brownian model,
symmetry,
transaction cost,
option pricing

##### 2816 Periodicity of Solutions of a Nonlinear Impulsive Differential Equation with Piecewise Constant Arguments

**Authors:**
Mehtap Lafcı

**Abstract:**

**Keywords:**
Carvalho's method,
impulsive differential equation,
periodic solution,
piecewise constant arguments

##### 2815 Application of a SubIval Numerical Solver for Fractional Circuits

**Authors:**
Marcin Sowa

**Abstract:**

**Keywords:**
numerical method,
SubIval,
fractional calculus,
numerical solver,
circuit analysis

##### 2814 Derivation of Fractional Black-Scholes Equations Driven by Fractional G-Brownian Motion and Their Application in European Option Pricing

**Authors:**
Changhong Guo,
Shaomei Fang,
Yong He

**Abstract:**

**Keywords:**
European option pricing,
fractional Black-Scholes equations,
fractional g-Brownian motion,
Taylor's series of fractional order,
uncertain volatility

##### 2813 Differential Transform Method: Some Important Examples

**Authors:**
M. Jamil Amir,
Rabia Iqbal,
M. Yaseen

**Abstract:**

**Keywords:**
differential transform method,
laplace equation,
Dirichlet boundary conditions,
Neumann boundary conditions

##### 2812 A Coupled System of Caputo-Type Katugampola Fractional Differential Equations with Integral Boundary Conditions

**Authors:**
Yacine Arioua

**Abstract:**

**Keywords:**
fractional differential equations,
coupled system,
Caputo-Katugampola derivative,
fixed point theorems,
existence,
uniqueness

##### 2811 Step Method for Solving Nonlinear Two Delays Differential Equation in Parkinson’s Disease

**Authors:**
H. N. Agiza,
M. A. Sohaly,
M. A. Elfouly

**Abstract:**

*.*

**Keywords:**
Parkinson's disease,
step method,
delay differential equation,
two delays

##### 2810 Existence of positive periodic solutions for certain delay differential equations

**Authors:**
Farid Nouioua,
Abdelouaheb Ardjouni

**Abstract:**

**Keywords:**
delay differential equations,
positive periodic solutions,
integral equations,
Krasnoselskii fixed point theorem

##### 2809 Development of Extended Trapezoidal Method for Numerical Solution of Volterra Integro-Differential Equations

**Authors:**
Fuziyah Ishak,
Siti Norazura Ahmad

**Abstract:**

**Keywords:**
accuracy,
extended trapezoidal method,
numerical solution,
Volterra integro-differential equations

##### 2808 Stability Analysis of Two-delay Differential Equation for Parkinson's Disease Models with Positive Feedback

**Authors:**
M. A. Sohaly,
M. A. Elfouly

**Abstract:**

**Keywords:**
Parkinson's disease,
stability,
simulation,
two delay differential equation