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A Reliable Algorithm for a Local Fractional Tricomi Equation Arising in Fractal Transonic Flow
(MDPI, 2016-05-25)
The pivotal proposal of this work is to present a reliable algorithm based on the local fractional homotopy perturbation Sumudu transform technique for solving a local fractional Tricomi equation occurring in fractal ...
Extended Riemann-Liouville type fractional derivative operator with applications
(De Gruyter, 2017)
The main purpose of this paper is to introduce a class of new extended forms of the beta function, Gauss hypergeometric function and Appell-Lauricella hypergeometric functions by means of the modified Bessel function of ...
Existence Results for Nonlinear Boundary Value Problems of Fractional Integrodifferential Equations with Integral Boundary Conditions
(SpringerOpen, 2009)
This paper deals with some existence results for a boundary value problem involving a nonlinear integrodifferential equation of fractional order with integral boundary conditions. Our results are based on contraction ...
Fractional Langevin Equation Involving Two Fractional Orders: Existence and Uniqueness Revisited
(MDPI, 2020)
We consider the nonlinear fractional Langevin equation involving two fractional orders with initial conditions. Using some basic properties of Prabhakar integral operator, we find an equivalent Volterra integral equation ...
Multiple Positive Solutions for Quadratic Integral Equations of Fractional Order
(Hindawi, 2017)
In this paper, the existence of multiple positive solutions for a class of quadratic integral equation of fractional order is obtained, by utilizing Avery-Henderson and Leggett-Williams multiple fixed point theorems on ...
A Novel Technique to Solve the Fuzzy System of Equations
(MDPI, 2020)
The aim of this research is to apply a novel technique based on the embedding method to solve the n×n fuzzy system of linear equations (FSLEs). By using this method, the strong fuzzy number solutions of FSLEs can be obtained ...
Implicit Fractional Differential Equations via the Liouville–Caputo Derivative
(MDPI, 2015)
We study an initial value problem for an implicit fractional differential equation with the Liouville–Caputo fractional derivative. By using fixed point theory and an approximation method, we obtain some existence and ...
Lyapunov-type inequalities for a higher order fractional differential equation with fractional integral boundary conditions
(Bolyai Institute, University of SzegedHungarian Academy of Sciences, 2017)
New Lyapunov-type inequalities are derived for the fractional boundary
value problem
Daa u(t) + q(t)u(t) = 0, a <t <b,
u(a) = u0(a) = … = u(n-2)(a) = 0, u(b) = Iaa (hu)(b),
where n E IN, n > 2, n - 1 < <n, Daa ...
Second order evolution equations with nonlocal conditions
(De Gruyter, 2017)
In this paper, we shall establish su cient conditions for the existence of solutions for second order semilinear functional evolutions equation with nonlocal conditions in Fréchet spaces. Our approach is based on the ...
Existence and Exponential Stability of Positive Almost Periodic Solutions for a Model of Hematopoiesis
(Hindawi, 2009)
By employing the contraction mapping principle and applying Gronwall-Bellman's inequality, sufficient conditions are established to prove the existence and exponential stability of positive almost periodic solution for ...