[PDF] Top 20 On approximate solutions for two higher order Caputo Fabrizio fractional integro differential equations
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On approximate solutions for two higher order Caputo Fabrizio fractional integro differential equations
... some fractional derivations of which most used are the Caputo and Riemann-Liouville ...the fractional calculus with these two main derivatives can be observed within a huge range of real world ... See full document
11
On boundary value problems of higher order abstract fractional integro-differential equations
... of solutions of boundary value problems of nonlinear fractional integro-differential equations involving Caputo fractional derivative by using the techniques such as ... See full document
20
On a coupled system of higher order nonlinear Caputo fractional differential equations with coupled Riemann–Stieltjes type integro multipoint boundary conditions
... R, i = 1, 2, . . . ,n – 2 and A is a function of bounded variation. In passing we remark that the present work is motivated by a recent paper [23], where the authors studied the existence and stability of ... See full document
19
Analysis of differential equations involving Caputo–Fabrizio fractional operator and its applications to reaction–diffusion equations
... involving fractional order derivative were given no- ticeable importance because they are more accurate and realistic as compared to the classical order models [22, 26, ...of fractional calcu- ... See full document
14
Positive solutions of fractional differential equation with two pieces in chain interval and simultaneous Dirichlet boundary conditions
... some fractional integro- differential equations involving the Caputo–Fabrizio derivation ...extended fractional Caputo–Fabrizio derivative for the existence of ... See full document
23
Existence of solutions for equations and inclusions of multiterm fractional q integro differential with nonseparated and initial boundary conditions
... of approximate solutions for these problems ...symmetric Caputo–Fabrizio fractional derivative and applied it to investigate the approxi- mate solutions for two infinite ... See full document
48
The extended fractional Caputo–Fabrizio derivative of order \(0\leq \sigma <1\) on \(C {\mathbb{R}}[0,1]\) and the existence of solutions for two higher order series type differential equations
... with boundary condition κ (0) = 0, where σ , ν, , δ ∈ (0, 1). Note that the functions h and g may be discontinuous. Since the left side of equation (2) is continuous, so is the right side as problem (2) should be a well ... See full document
11
Existence and uniqueness of solutions for a higher order coupled fractional differential equations at resonance
... the two-point boundary value problems for coupled system of fractional differential equations have been studied by some authors, to the best of our knowledge, higher-order ... See full document
14
On the existence of solutions for some infinite coefficient-symmetric Caputo-Fabrizio fractional integro-differential equations
... the fractional Caputo-Fabrizio derivative was applied to models possessing memory effect of exponential ...CF fractional derivative. Besides, its properties were investigated, and two ... See full document
9
On high order fractional integro-differential equations including the Caputo–Fabrizio derivative
... the fractional Caputo–Fabrizio derivative, we introduce two types new high order derivations called CFD and ...of solutions for two such type high order ... See full document
15
A new method for investigating approximate solutions of some fractional integro differential equations involving the Caputo Fabrizio derivative
... of approximate solutions analytically for some fractional integro-differential equations involving the Caputo-Fabrizio ...the approximate solution of an equation is ... See full document
12
Fractional type of flatlet oblique multiwavelet for solving fractional differential and integro-differential equations
... The fractional derivative in the Caputo ...the fractional calculus. There are different definitions of fractional differentiation of positive real order α, which are not necessarily ... See full document
15
Existence of solutions for integro differential equations of fractional order with nonlocal three point fractional boundary conditions
... nonlinearity considered in the problem () becomes of non-integral type if we take B = in () and corresponds to integral type for A = in (). Furthermore, the given bound- ary conditions are also interesting and ... See full document
9
Existence and uniqueness of solutions to fractional differential equations in the frame of generalized Caputo fractional derivatives
... integral equations of the second kind corresponding to the Cauchy problems are shown and, subsequently, Banach fixed point theorem is ...the fractional calculus ... See full document
13
7. On solutions of a system of higher-order nonlinear fractional differential equations
... of higher-order nonlinear fractional differential equa- tions is studied in this article, and some sufficient conditions for existence and uniqueness of a solution for the system is established by the ... See full document
10
On approximate solutions for a class of semilinear fractional-order differential equations in Banach spaces
... of solutions to a Caputo fractional-order semilinear differential equation in a Banach space under the assumption that the linear part of the equation is a closed unbounded generator of a C ... See full document
20
Asymptotically periodic solutions of semilinear fractional integro differential equations
... science, fractional integro- differential equations have received much attention in recent years ...of solutions of fractional integro-differential equations have been ... See full document
19
Approximate controllability of nonlocal impulsive fractional neutral stochastic integro-differential equations with state-dependent delay in Hilbert spaces
... the approximate controllability results for impulsive stochastic fractional neutral integro-differential systems with non-local and state-dependent delay conditions in Hilbert ...theory, ... See full document
28
Some New Uniqueness Results of Solutions to Nonlinear Fractional Integro-Differential Equations
... The rest of this paper is split as follows. In Section 2, we present some mathematical tools and listing the assumptions which have advantage on this paper. Section 3 is dedicated to proving the uniqueness of ... See full document
8
Existence of Solutions and Ulam Stability for Caputo Type Sequential Fractional Differential Equations of Order α ∈ (2,3)
... Section 3, while Ulam type stability for the given problem is discussed in Section 4. An existence result for the multivalued (inclusions) case of the problem (1.1) is proved in Section 5. An initial value problem for ... See full document
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