$Fractal boundary value problems for integral and differential equations with local fractional operators$

Fractal boundary value problems for integral and differential equations with local fractional operators

In the present paper we investigate the fractal boundary value problems for the Fredholm\Volterra integral equations, heat conduction and wave equations by using the local fractional decomposition method. The operator is described by the local fractional operators. The four illustrative exa...

Full description

Bibliographic Details
Main Authors:	Yang Xiao-Jun, Baleanub Dumitru, Lazarević Mihailo P., Cajić Milan S.
Format:	Article
Language:	English
Published:	VINCA Institute of Nuclear Sciences 2015-01-01
Series:	Thermal Science
Subjects:	local fractional decomposition method heat conduction equations integral equations wave equations boundary value problems
Online Access:	http://www.doiserbia.nb.rs/img/doi/0354-9836/2015/0354-98361300103Y.pdf

Similar Items

Converting fractional differential equations into partial differential equations
by: He Ji-Huan, et al.
Published: (2012-01-01)

Reconstruction of the boundary condition for the heat conduction equation of fractional order
by: Brociek Rafal, et al.
Published: (2015-01-01)

Analytical Technique for (2+1) Fractional Diffusion Equation with Nonlocal Boundary Conditions
by: Rahmatullah Ibrahim Nuruddeen, et al.
Published: (2018-10-01)

Positive solutions for integral boundary value problem of two-term fractional differential equations
by: Mengrui Xu, et al.
Published: (2018-06-01)

Existence of solutions for fractional differential equations with Dirichlet boundary conditions
by: Khaled Ben Ali, et al.
Published: (2016-05-01)

Solutions for Initial Boundary Value Problems for Some Degenerate Equations Systems of Fractional Order with Respect to the Time
by: D.M. Gordievskikh, et al.
Published: (2015-06-01)

Positive solutions for periodic boundary value problem of fractional differential equation in Banach spaces
by: Yibo Kong, et al.
Published: (2018-09-01)

Smallest eigenvalues for boundary value problems of two term fractional differential operators depending on fractional boundary conditions
by: Paul W. Eloe, et al.
Published: (2021-07-01)

Solvability for boundary value problems of nonlinear fractional differential equations with mixed perturbations of the second type
by: Yige Zhao, et al.
Published: (2020-01-01)

Analytical Approximate Solutions of (n + 1)-Dimensional Fractal Heat-Like and Wave-Like Equations
by: Omer Acan, et al.
Published: (2017-06-01)

Modeling of Strength Characteristics of Polymer Concrete Via the Wave Equation with a Fractional Derivative
by: Ludmila Kirianova
Published: (2020-10-01)

The non-differentiable solution for local fractional Laplace equation in steady heat-conduction problem
by: Chen Jie-Dong, et al.
Published: (2016-01-01)

The Third Boundary Value Problem for a Loaded Thermal Conductivity Equation with a Fractional Caputo Derivative
by: M. Kh. Beshtokov, et al.
Published: (2020-09-01)

Exact solutions for the differential equations in fractal heat transfer
by: Yang Chun-Yu, et al.
Published: (2016-01-01)

Fractional telegrapher’s equation as a consequence of Cattaneo’s heat conduction law generalization
by: Zorica Dušan, et al.
Published: (2018-01-01)

An initial-boundary value problem for the one-dimensional non-classical heat equation in a slab
by: Salva Natalia, et al.
Published: (2011-01-01)

Existence of positive solution for BVP of nonlinear fractional differential equation with integral boundary conditions
by: Min Li, et al.
Published: (2020-04-01)

Existence results for a coupled system of nonlinear fractional differential equations with boundary value problems on an unbounded domain
by: Neda Khodabakhshi, et al.
Published: (2013-12-01)

Fractal heat conduction problem solved by local fractional variation iteration method
by: Yang Xiao-Jun, et al.
Published: (2013-01-01)

Positive solutions for a boundary value problem of fractional differential equation with p-Laplacian operator
by: Yuansheng Tian, et al.
Published: (2019-08-01)

Methods of Computing Functional Gains for LQR Control of Partial Differential Equations
by: Hulsing, Kevin P.
Published: (2014)

Monotone iterative method for fractional p-Laplacian differential equations with four-point boundary conditions
by: Xiaoping Li, et al.
Published: (2020-12-01)

Existence and Ulam–Hyers stability of coupled sequential fractional differential equations with integral boundary conditions
by: Nazim I. Mahmudov, et al.
Published: (2019-06-01)

Existence of solutions for impulsive fractional integrodifferential equations with mixed boundary conditions
by: Baolin Li, et al.
Published: (2017-08-01)

Generalized iterative method for the solution of linear and nonlinear fractional differential equations with composite fractional derivative operator
by: Krunal B. Kachhia, et al.
Published: (2020-04-01)

Boundary value problem for a coupled system of fractional differential equations with p-Laplacian operator at resonance
by: Lingling Cheng, et al.
Published: (2014-02-01)

Existence results for fractional differential equations with integral and multi-point boundary conditions
by: Youyu Wang, et al.
Published: (2018-01-01)

Existence of solutions for boundary value problem of fractional order impulsive differential equations systems
by: Weihua JIANG, et al.
Published: (2015-04-01)

Eigenvalue problem for nonlinear elastic beam equation of fractional order
by: Neda Khodabakhshi, et al.
Published: (2017-10-01)

Boundary regularized integral equation formulation of the Helmholtz equation in acoustics
by: Qiang Sun, et al.
Published: (2015-01-01)

Reconstruction of the thermal conductivity coefficient in the space fractional heat conduction equation
by: Brociek Rafał, et al.
Published: (2017-01-01)

Analysis of fractal fractional differential equations
by: Abdon Atangana, et al.
Published: (2020-06-01)

Lyapunov-type inequalities for $\alpha$-th order fractional differential equations with 2<$\alpha\le3$ and fractional boundary conditions
by: Sougata Dhar, et al.
Published: (2017-09-01)

Boundary Value Problems for Hybrid Caputo Fractional Differential Equations
by: Zidane Baitiche, et al.
Published: (2019-03-01)

Fractional differential equations with fractional non-separated boundary conditions
by: Xiaoyou Liu, et al.
Published: (2013-01-01)

Existence of solutions to nonlocal boundary value problems for fractional differential equations with impulses
by: Daniel Cao Labora, et al.
Published: (2020-02-01)

On Separate Fractional Sum-Difference Equations with <i>n</i>-Point Fractional Sum-Difference Boundary Conditions via Arbitrary Different Fractional Orders
by: Saowaluck Chasreechai, et al.
Published: (2019-05-01)

Existence of positive solution to a coupled system of singular fractional difference equations via fractional sum boundary value conditions
by: Chanon Promsakon, et al.
Published: (2019-03-01)

Study of impulsive fractional differential equation under Robin boundary conditions by topological degree method
by: Atta Ullah, et al.
Published: (2020-05-01)

Existence of solutions for multi-point nonlinear differential equations of fractional orders with integral boundary conditions
by: Gang Wang, et al.
Published: (2012-04-01)