Multi-Order Fractional Differential Equations
Numerical solution of multi-order fractional differential equations via the sinc collocation method
... nonlinear multi-order fractional differential equations based on the new definition of fractional derivative which is recently presented by Khalil, ...of fractional ...
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A New Modification of the Reconstruction of Variational Iteration Method for Solving Multi-order Fractional Differential Equations
... Therefore, the solution is ( ) = ( ) = 1 + . This is coinciding with its exact solution given in [24]. In comparison with the procedure in [24] to solve this example, one can see the importance of our numerical scheme ...
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Blowing up solutions of multi order fractional differential equations with the periodic boundary condition
... The rest of this paper is organized as follows. In Section , we introduce some basic definitions and notations. In Section , we find the Green’s function for a multi-order fractional differential ...
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Numerical solution for a class of multi order fractional differential equations with error correction and convergence analysis
... Since multi-order fractional differential equations are applied in many fields, many sci- entists have begun to study the properties and numerical solutions of ...equations. Multi- ...
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Solving multi-order fractional differential equations by reproducing kernel Hilbert space method
... approximate fractional differential equations, such as Adomian decomposition method [17], variational iteration method [18], homotopy analysis method [19] and collocation method ...to fractional ...
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Positive solutions of a system for nonlinear singular higher-order fractional differential equations with fractional multi-point boundary conditions
... Motivated by the above mentioned work, in this paper, we present some limit type con- ditions and discuss the existence and multiplicity of positive solutions of the singular frac- tional multi-point boundary ...
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Existence results of fractional integro-differential equations with m-point multi-term fractional order integral boundary conditions
... for fractional differential ...three-point, multi-point or integral boundary ...nonlinear fractional differential equations with nonlocal fractional order integral bound- ary ...
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Existence results for multi term fractional differential equations with nonlocal multi point and multi strip boundary conditions
... differential equations and in- clusions containing a single fractional order operator is now much enriched and one can find useful results in a series of articles [8–19] and the references cited ...
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Existence theory for fractional differential equations with non separated type nonlocal multi point and multi strip boundary conditions
... periodic/anti-periodic type boundary conditions x(0) = –(b/a)x(1), x (0) = –(d/c)x (1). In particular, we have the results for anti-periodic type boundary conditions when (b/a) = 1 = (d/c). For more details on ...
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Existence results for fractional order differential equations with nonlocal multi point strip conditions involving Caputo derivative
... tial equations, see, for example, mathematical models for bacterial self-regularization ...on fractional-order boundary value problems involving nonlocal and integral boundary conditions can be found ...
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Nonlinear sequential fractional differential equations with nonlocal boundary conditions involving lower order fractional derivatives
... of fractional-order derivatives and integrals in diverse disciplines such as applied mathematics, physics, control theory, mechanical structures, thermodynamics, ...the fractional Laplacian is a ...
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Existence results for multi-term time-fractional impulsive differential equations with fractional order boundary conditions
... where γ ∈ (0, 1), k = 1, 2, 3, . . . , m ∈ N . In [27] Liu et al. established the existence results for fractional differential equations with fractional non separated boundary conditions. ...
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Existence and uniqueness of symmetric solutions for fractional differential equations with multi-order fractional integral conditions
... which is equivalent to the symmetric condition x(t) = x(T – t). Therefore, the condition (.) provides the other ordinary/fractional integral boundary condition which is different from the regular symmetric ...
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Boundary value problems for impulsive multi-order Hadamard fractional differential equations
... In this paper, we study the existence and uniqueness of solutions for impulsive multi-orders Caputo-Hadamard fractional differential equations equipped with boundary and integral conditions. The ...
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Wavelets operational methods for fractional differential equations and systems of fractional differential equations
... for fractional derivatives and applied it with spectral methods for numerical solution of multi-term linear and nonlinear ...any fractional order derivatives of shifted Chebyshev polynomials ...
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Multi term fractional differential equations in a nonreflexive Banach space
... solve fractional differential equations containing more than one differential operator, and this type of fractional differential equation is called a multi-term fractional differential ...
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Numerical Solution of Fractional Control System by Haar-wavelet Operational Matrix Method
... To demonstrate the efficiency and the practi- cability of the proposed method based on Haar wavelet operational matrix method, we consider the following example. In order to show the effi- ciency of method for ...
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Anti periodic fractional boundary value problems for nonlinear differential equations of fractional order
... Fractional calculus has been recognized as an effective modeling methodology by re- searchers. Fractional differential equations are generalizations of classical differential equations to an ...
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Fractional type of flatlet oblique multiwavelet for solving fractional differential and integro-differential equations
... the order of the derivative, Γ( · ) is the Gamma function and n = ...Caputo differential operator coincides with the differential operator of integer ...Caputo’s fractional differentiation is ...
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An existence result for n^{th}-order nonlinear fractional differential equations
... in order to prove the existence of positive solutions of boundary value problems associated to some differential equations, difference equations, and dynamic equations on scales (see, ...
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