**Commenced**in January 2007

**Frequency:**Monthly

**Edition:**International

**Paper Count:**1835

# Search results for: generalized Riemann– Liouville and Erdélyi–Kober fractional integral operators

##### 1835 On the Fractional Integration of Generalized Mittag-Leffler Type Functions

**Authors:**
Christian Lavault

**Abstract:**

**Keywords:**
Fox–Wright Psi function,
generalized hypergeometric function,
generalized Riemann– Liouville and Erdélyi–Kober fractional integral operators,
Saigo's generalized fractional calculus,
Sharma's M-series and K-function

##### 1834 Hermite–Hadamard Type Integral Inequalities Involving k–Riemann–Liouville Fractional Integrals and Their Applications

**Authors:**
Artion Kashuri,
Rozana Liko

**Abstract:**

**Keywords:**
Hermite-Hadamard's inequalities,
Hölder's inequality,
k-Riemann-Liouville fractional integral,
special means

##### 1833 Lyapunov Type Inequalities for Fractional Impulsive Hamiltonian Systems

**Authors:**
Kazem Ghanbari,
Yousef Gholami

**Abstract:**

**Keywords:**
fractional derivatives and integrals,
Hamiltonian system,
Lyapunov-type inequalities,
stability,
disconjugacy

##### 1832 Fractional Order Differentiator Using Chebyshev Polynomials

**Authors:**
Koushlendra Kumar Singh,
Manish Kumar Bajpai,
Rajesh Kumar Pandey

**Abstract:**

**Keywords:**
fractional order derivative,
chebyshev
polynomials,
signals,
S-G differentiator

##### 1831 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

##### 1830 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

##### 1829 On Fourier Type Integral Transform for a Class of Generalized Quotients

**Authors:**
A. S. Issa,
S. K. Q. AL-Omari

**Abstract:**

**Keywords:**
Boehmian,
Fourier integral,
Fourier type integral,
generalized quotient

##### 1828 Cellular Automata Using Fractional Integral Model

**Authors:**
Yasser F. Hassan

**Abstract:**

**Keywords:**
fractional integral,
cellular automata,
memory,
learning

##### 1827 Modified Fractional Curl Operator

**Authors:**
Rawhy Ismail

**Abstract:**

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

##### 1826 Numerical Computation of Sturm-Liouville Problem with Robin Boundary Condition

**Authors:**
Theddeus T. Akano,
Omotayo A. Fakinlede

**Abstract:**

**Keywords:**
Sturm-Liouville problem,
Robin boundary condition,
finite element method,
eigenvalue problems

##### 1825 Durrmeyer Type Modification of q-Generalized Bernstein Operators

**Authors:**
Ruchi,
A. M. Acu,
Purshottam N. Agrawal

**Abstract:**

**Keywords:**
Bögel continuous,
Bögel differentiable,
generalized Boolean sum,
Peetre’s K-functional,
Lipschitz class,
mixed modulus of smoothness

##### 1824 Nonlocal Phenomena in Quantum Mechanics

**Authors:**
Kazim G. Atman,
Hüseyin Sirin

**Abstract:**

**Keywords:**
Einstein’s Coefficients,
Fractional Calculus,
Fractional Quantum Mechanics,
Nonlocal Theories

##### 1823 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

##### 1822 Fractional-Order PI Controller Tuning Rules for Cascade Control System

**Authors:**
Truong Nguyen Luan Vu,
Le Hieu Giang,
Le Linh

**Abstract:**

**Keywords:**
Bode’s ideal transfer function,
fractional calculus,
fractional–order proportional integral (FOPI) controller,
cascade control system

##### 1821 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

##### 1820 Design Fractional-Order Terminal Sliding Mode Control for Synchronization of a Class of Fractional-Order Chaotic Systems with Uncertainty and External Disturbances

**Authors:**
Shabnam Pashaei,
Mohammadali Badamchizadeh

**Abstract:**

**Keywords:**
terminal sliding mode control,
fractional-order calculus,
chaotic systems,
synchronization

##### 1819 A Proof of the N. Davydov Theorem for Douglis Algebra Valued Functions

**Authors:**
Jean-Marie Vilaire,
Ricardo Abreu-Blaya,
Juan Bory-Reyes

**Abstract:**

**Keywords:**
Beltrami equation,
Douglis algebra-valued function,
Hypercomplex Cauchy type integral,
Sokhotski-Plemelj formulae

##### 1818 Probability Fuzzy Aggregation Operators in Vehicle Routing Problem

**Authors:**
Anna Sikharulidze,
Gia Sirbiladze

**Abstract:**

**Keywords:**
vehicle routing problem,
associated probabilities of a fuzzy measure,
choquet integral,
fuzzy aggregation operator

##### 1817 Approximation by Generalized Lupaş-Durrmeyer Operators with Two Parameter α and β

**Authors:**
Preeti Sharma

**Abstract:**

**Keywords:**
Lupas-Durrmeyer operators,
polya distribution,
weighted approximation,
rate of convergence,
modulus of continuity

##### 1816 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

##### 1815 Numerical Applications of Tikhonov Regularization for the Fourier Multiplier Operators

**Authors:**
Fethi Soltani,
Adel Almarashi,
Idir Mechai

**Abstract:**

**Keywords:**
fourier multiplier operators,
Gauss-Kronrod method of integration,
Paley-Wiener space,
Tikhonov regularization

##### 1814 Bivariate Generalization of q-α-Bernstein Polynomials

**Authors:**
Tarul Garg,
P. N. Agrawal

**Abstract:**

**Keywords:**
Bögel continuous,
Bögel differentiable,
generalized Boolean sum,
K-functional,
mixed modulus of smoothness

##### 1813 Statistical Convergence of the Szasz-Mirakjan-Kantorovich-Type Operators

**Authors:**
Rishikesh Yadav,
Ramakanta Meher,
Vishnu Narayan Mishra

**Abstract:**

**Keywords:**
The Szasz-Mirakjan-Kantorovich operators,
statistical convergence,
modulus of continuity,
Peeters K-functional,
weighted modulus of continuity

##### 1812 Globally Attractive Mild Solutions for Non-Local in Time Subdiffusion Equations of Neutral Type

**Authors:**
Jorge Gonzalez Camus,
Carlos Lizama

**Abstract:**

**Keywords:**
attractive mild solutions,
integral Volterra equations,
neutral type equations,
non-local in time equations

##### 1811 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

##### 1810 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

##### 1809 Fractional Calculus into Structural Dynamics

**Authors:**
Jorge Lopez

**Abstract:**

**Keywords:**
coupled oscillators,
fractional calculus,
fractional oscillator,
structural dynamics

##### 1808 Classification of Sturm-Liouville Problems at Infinity

**Authors:**
Kishor J. shinde

**Abstract:**

**Keywords:**
limit point case,
limit circle case,
Sturm-Liouville,
infinity

##### 1807 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

##### 1806 Common Fixed Point Results and Stability of a Modified Jungck Iterative Scheme

**Authors:**
Hudson Akewe

**Abstract:**

**Keywords:**
generalized contractive-like operators,
modified Jungck iterative scheme,
stability results,
weakly compatible maps,
unique common fixed point