**Commenced**in January 2007

**Frequency:**Monthly

**Edition:**International

**Paper Count:**5149

# Search results for: linear fractional differential equations

##### 5149 Weak Solutions Of Stochastic Fractional Differential Equations

**Authors:**
Lev Idels,
Arcady Ponosov

**Abstract:**

**Keywords:**
delay equations,
operator methods,
stochastic noise,
weak solutions

##### 5148 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

##### 5147 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

##### 5146 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

##### 5145 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

##### 5144 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

##### 5143 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

##### 5142 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

##### 5141 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

##### 5140 Hypergeometric Solutions to Linear Nonhomogeneous Fractional Equations with Spherical Bessel Functions of the First Kind

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

**Abstract:**

**Keywords:**
caputo fractional derivatives,
hypergeometric functions,
linear differential equations,
spherical Bessel functions

##### 5139 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

##### 5138 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

##### 5137 Nonhomogeneous Linear Second Order Differential Equations and Resonance through Geogebra Program

**Authors:**
F. Maass,
P. Martin,
J. Olivares

**Abstract:**

**Keywords:**
education,
geogebra,
ordinary differential equations,
resonance

##### 5136 Approximations of Fractional Derivatives and Its Applications in Solving Non-Linear Fractional Variational Problems

**Authors:**
Harendra Singh,
Rajesh Pandey

**Abstract:**

**Keywords:**
non-linear fractional variational problems,
Rayleigh-Ritz method,
convergence analysis,
error analysis

##### 5135 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

##### 5134 Modified Fractional Curl Operator

**Authors:**
Rawhy Ismail

**Abstract:**

**Keywords:**
curl operator,
fractional calculus,
fractional curl operators,
Maxwell equations

##### 5133 Integral Image-Based Differential Filters

**Authors:**
Kohei Inoue,
Kenji Hara,
Kiichi Urahama

**Abstract:**

**Keywords:**
integral images,
differential images,
differential filters,
image fusion

##### 5132 Numerical Treatment of Block Method for the Solution of Ordinary Differential Equations

**Authors:**
A. M. Sagir

**Abstract:**

**Keywords:**
block method,
first order ordinary differential equations,
hybrid,
self-starting

##### 5131 On a Continuous Formulation of Block Method for Solving First Order Ordinary Differential Equations (ODEs)

**Authors:**
A. M. Sagir

**Abstract:**

**Keywords:**
block method,
first order ordinary differential equations,
linear multistep,
self-starting

##### 5130 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

##### 5129 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

##### 5128 On the Approximate Solution of Continuous Coefficients for Solving Third Order Ordinary Differential Equations

**Authors:**
A. M. Sagir

**Abstract:**

**Keywords:**
block method,
hybrid,
linear multistep,
self-starting,
third order ordinary differential equations

##### 5127 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

##### 5126 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

##### 5125 Parameter Estimation via Metamodeling

**Authors:**
Sergio Haram Sarmiento,
Arcady Ponosov

**Abstract:**

**Keywords:**
principal component analysis,
generalized law of mass action,
parameter estimation,
metamodels

##### 5124 On the Relation between λ-Symmetries and μ-Symmetries of Partial Differential Equations

**Authors:**
Teoman Ozer,
Ozlem Orhan

**Abstract:**

**Keywords:**
λ-symmetry,
μ-symmetry,
classification,
invariant solution

##### 5123 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

##### 5122 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

##### 5121 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

##### 5120 Investigate and Solving Analytic of Nonlinear Differential at Vibrations (Earthquake)and Beam-Column, by New Approach “AGM”

**Authors:**
Mohammadreza Akbari,
Pooya Soleimani Besheli,
Reza Khalili,
Sara Akbari

**Abstract:**

**Keywords:**
new method AGM,
vibrations,
beam-column,
angular frequency,
energy dissipated,
critical load