**Commenced**in January 2007

**Frequency:**Monthly

**Edition:**International

**Paper Count:**3536

# Search results for: fractional partial differential equations

##### 3536 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

##### 3535 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

##### 3534 Weak Solutions Of Stochastic Fractional Differential Equations

**Authors:**
Lev Idels,
Arcady Ponosov

**Abstract:**

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

##### 3533 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

##### 3532 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

##### 3531 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

##### 3530 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

##### 3529 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

##### 3528 Algorithms Utilizing Wavelet to Solve Various Partial Differential Equations

**Authors:**
K. P. Mredula,
D. C. Vakaskar

**Abstract:**

**Keywords:**
multi-resolution,
Haar Wavelet,
partial differential equation,
numerical methods

##### 3527 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

##### 3526 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

##### 3525 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

##### 3524 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

##### 3523 The Non-Uniqueness of Partial Differential Equations Options Price Valuation Formula for Heston Stochastic Volatility Model

**Authors:**
H. D. Ibrahim,
H. C. Chinwenyi,
T. Danjuma

**Abstract:**

**Keywords:**
Black-Scholes partial differential equations,
Ito process,
option price valuation,
partial differential equations

##### 3522 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

##### 3521 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

##### 3520 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

##### 3519 Modified Fractional Curl Operator

**Authors:**
Rawhy Ismail

**Abstract:**

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

##### 3518 A Study on the Solutions of the 2-Dimensional and Forth-Order Partial Differential Equations

**Abstract:**

**Keywords:**
reduced differential transform method,
adomian decomposition method,
variational iteration method,
homotopy analysis method

##### 3517 Development of a Model Based on Wavelets and Matrices for the Treatment of Weakly Singular Partial Integro-Differential Equations

**Authors:**
Somveer Singh,
Vineet Kumar Singh

**Abstract:**

**Keywords:**
Legendre Wavelets,
operational matrices,
partial integro-differential equation,
viscoelasticity

##### 3516 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

##### 3515 Analytical Solution for Thermo-Hydro-Mechanical Analysis of Unsaturated Porous Media Using AG Method

**Authors:**
Davood Yazdani Cherati,
Hussein Hashemi Senejani

**Abstract:**

**Keywords:**
AGM,
analytical solution,
porous media,
thermo-hydro-mechanical,
unsaturated soils

##### 3514 Large Amplitude Vibration of Sandwich Beam

**Authors:**
Youssef Abdelli,
Rachid Nasri

**Abstract:**

**Keywords:**
finite difference method,
large amplitude vibration,
multiple scales,
nonlinear vibration

##### 3513 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

##### 3512 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

##### 3511 Scrutiny and Solving Analytically Nonlinear Differential at Engineering Field of Fluids, Heat, Mass and Wave by New Method AGM

**Authors:**
Mohammadreza Akbari,
Sara Akbari,
Davood Domiri Ganji,
Pooya Solimani,
Reza Khalili

**Abstract:**

**Keywords:**
new method AGM,
sets of coupled nonlinear equations at engineering field,
waves equations,
integro-differential,
fluid and thermal

##### 3510 Symbolic Partial Differential Equations Analysis Using Mathematica

**Authors:**
Davit Shahnazaryan,
Diogo Gomes,
Mher Safaryan

**Abstract:**

**Keywords:**
partial differential equations,
symbolic computation,
conserved and dissipated quantities,
mathematica

##### 3509 Solving SPDEs by Least Squares Method

**Authors:**
Hassan Manouzi

**Abstract:**

**Keywords:**
least squares,
wick product,
SPDEs,
finite element,
wiener chaos expansion,
gradient method

##### 3508 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

##### 3507 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