coupled boundary integral equations
A coupled system of fractional differential equations with nonlocal integral boundary conditions
... In this paper, we prove the existence and uniqueness of solutions for a system of fractional differential equations with Riemann-Liouville integral boundary conditions of different order. Our results ...
8
Existence and Ulam–Hyers stability of coupled sequential fractional differential equations with integral boundary conditions
... differential equations of fractional order, involving various types of bound- ary conditions, has been the subject of interest in the pure and applied ...two-point boundary conditions, much attention is paid ...
15
A coupled system of fractional q integro difference equations with nonlocal fractional q integral boundary conditions
... of boundary value problems for fractional q-integro-difference equations with nonlocal fractional q-integral conditions which have different quantum ...a coupled system of fractional ...
21
Positive solutions for higher order singular fractional differential system with coupled integral boundary conditions
... differential equations have appeared, for example, [–] have established the existence of solutions or positive solutions of initial or boundary value problems of some systems of nonlinear fractional ...
12
Iterative technique for coupled integral boundary value problem of non integer order differential equations
... Differential equations of arbitrary order and their systems are the valuable tools for describing many physical, biological, psychological phenomena more accurately as com- pared to classical differential ...
14
Positive solutions for a system of nonlinear Hadamard fractional differential equations involving coupled integral boundary conditions
... In this paper we use the fixed point index to study the existence of positive solutions for a system of nonlinear Hadamard fractional differential equations involving coupled integral boundary ...
18
On coupled systems of Hammerstein integral equations
... Hammerstein-type coupled systems of integral equations, we refer [12], where, by a special cone and using fixed point index theory, Cui and Sun, inves- tigate the existence of positive solutions of ...
14
Positive solutions for singular coupled integral boundary value problems of nonlinear higher order fractional q difference equations
... Due to the intensive development of the theory of fractional calculus itself and its varied applications in many fields of science and engineering, the fractional differential equation has gained considerable popularity ...
22
Solvability for a coupled system of fractional differential equations with integral boundary conditions at resonance
... differential equations arise in a variety of different areas such as rheology, fluid flows, electrical networks, viscoelasticity, chemical physics, electron-analytical chemistry, biology, control theory ...differential ...
13
Nonexistence of positive solutions for a system of coupled fractional boundary value problems
... In this paper, we give sufficient conditions on λ, μ, f , and g such that the system of non- linear Riemann-Liouville fractional differential equations (S) with the coupled integral boundary ...
12
Local uniqueness of positive solutions for a coupled system of fractional differential equations with integral boundary conditions
... In this paper, we study a coupled system of fractional boundary value problems subject to integral boundary conditions. By applying a recent fixed point theorem in ordered Banach spaces, we ...
12
Boundary Integral Equations for Quasi-Static Unsaturated Porous Media
... presented coupled thermo-hydro-mechanical fundamental solutions for the same quasi-static loading condition of the unsaturated soil for two and three-dimensional time domains ...Dirichlet boundary ...
18
Positive solution of a system of integral equations with applications to boundary value problems of differential equations
... of boundary value problems for differential equation on continuous interval and time scales or fractional differential equations in a unified way, which avoids treating these problems on a case-by-case ...of ...
26
Boundary integral equations with the generalized Neumann kernel for laplace's equations in multiply connected regions
... the integral equation of Mikhlin’s method has in general complex ...our integral equations are ...each boundary component, in view of Corollary 2, the eigenvalues of the matrix A are positive ...
18
Existence of solutions for fractional differential equations with integral boundary conditions
... There were several definitions of fractional derivatives such as Riemann-Liouville, Ca- puto, Weyl, etc. Applied problems require those definitions of fractional derivatives that allow the utilization of physically ...
13
Nonlinear fractional differential equations with nonlocal integral boundary conditions
... the boundary value problem of a class of fractional differential equations involving the Riemann-Liouville fractional derivative with nonlocal integral boundary ...
11
Existence of solution for first-order coupled system with nonlinear coupled boundary conditions
... differential equations to the areas of mechanics; population dy- namics; optimal control; ecology; biotechnology; harvesting; and physics ...uncoupled boundary conditions ...are coupled not only in ...
9
Thermal Bending of Circular Plates for Non Axisymmetrical Problems
... the strongly singular kernel are educed for the thermal bending problem of the plate supported at the boundary. he convolution formulae are utilized to get the solutions of deflection and slope directly for simple ...
6
Convolution spline approximations for time domain boundary integral equations
... domain boundary integral equations ...Volterra integral equation (VIE) to illustrate the derivation of this new approach: at time step t n = nh the VIE solution is ...
44
A NOVEL HOMOTOPY PERTURBATION METHOD: KOUROSH´S METHOD FOR A THERMAL BOUNDARY LAYER IN A SATURATED POROUS MEDIUM
... similarity equations for mixed convection boundary-layer flow over a vertical semi-infinite flat plate in which the free stream velocity is uniform and the wall temperature is inversely proportional to the ...
6