[PDF] Top 20 Ulam stability results to a class of nonlinear implicit boundary value problems of impulsive fractional differential equations
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Ulam stability results to a class of nonlinear implicit boundary value problems of impulsive fractional differential equations
... The impulsive phenomenon, which is a sudden and discontinuous change, is naturally observed in many physical ...differential equations with some impulsive ...of impulsive differential ... See full document
21
Solvability of triple point integral boundary value problems for a class of impulsive fractional differential equations
... fractional derivative of order α (2 < α ≤ 3). Some sufficient criteria for the existence of solutions are obtained by applying the contraction mapping principle and the fixed point theorem. As an application, one ... See full document
19
Solvability of boundary value problems for impulsive fractional differential equations in Banach spaces
... a class of boundary value problems for impulsive fractional differential equations involving the Caputo fractional derivative in a Banach ... See full document
17
Ulam stability to a toppled systems of nonlinear implicit fractional order boundary value problem
... of Ulam stability for a toppled system of fractional order boundary value problems involving the Riemann–Liouville fractional ...existence results are proved for ... See full document
16
Some existence results for nonlinear fractional differential equations with impulsive and fractional integral boundary conditions
... the boundary value problems for a class of nonlinear fractional differential equations with impulsive and fractional integral boundary ...uniqueness ... See full document
10
Boundary Value Problems of Nonlinear Variable Coefficient Fractional Differential Equations
... a class of boundary value problem of the nonlinear variable coefficient of fractional differential ...Captuo fractional derivatives is discussed under the assumption that ... See full document
8
Solvability of a boundary value problem for singular multi-term fractional differential system with impulse effects
... the boundary value problems for impulsive fractional differential equations to integral ...a nonlinear operator. Finally, we establish existence results for ... See full document
29
Boundary value problems for nonlinear fractional integro differential equations: theoretical and numerical results
... It is well-known that it is extremely difficult to find exact solutions of FIDEs. There- fore, several numerical methods have been proposed to approximate exact solutions for such problems. Examples of such ... See full document
13
Boundary value problems of the nonlinear multiple base points impulsive fractional differential equations with constant coefficients
... the fractional differential equations of order α ∈ (, ) with constant ...existence results of the impulsive fractional differential equations with anti-periodic boundary ... See full document
14
Hyers-Ulam Stability of a Class Fractional Boundary Value Problems with Right and Left Fractional Derivatives
... Hyers-Ulam stability and Hyers-Ulam-Rassias stability of a class differential equation boundary value problems with right and left fractional deriva- ... See full document
7
Existence of solution to a class of boundary value problem for impulsive fractional differential equations
... the boundary value problem of a fractional differential equation can be reduced to the equivalent integral ...the boundary value problem of a nonlinear fractional ... See full document
12
Existence and Uniqueness for the Boundary Value Problems of Nonlinear Fractional Differential Equation
... a class of boundary value problems of nonlinear fractional order differential equations involving the Caputo fractional derivative by employing the Banach’s ... See full document
12
Ulam type stability for a class of implicit fractional differential equations with non instantaneous integral impulses and boundary condition
... sive fractional differential equations due to their applications in different fields of engineer- ing and medical sciences [, ...–]. Impulsive fractional differential equations are ... See full document
26
Existence and stability analysis to a coupled system of implicit type impulsive boundary value problems of fractional order differential equations
... 0, and hence by Theorem 5 the coupled system (32) is HU stable and thus GHU stable. Similarly, we can verify the conditions of Theorems 6 and 4. Next, we take the initial values for the required solution ξ = 1, μ = 2, ... See full document
21
Ulam Stability for System of Nonlinear Implicit Fractional Differential Equations
... 1940, Ulam [22] proposed a general Ulam stability problem in the talk before the Mathematics Club of University of Wisconsin in which he discussed a number of important unsolved ...the results ... See full document
10
Impulsive initial value problems for a class of implicit fractional differential equations
... of fractional calculus has received remarkable consideration from the researchers of widespread fields of science and engineering due its applicability of de- scribing the hereditary and memory effect of numerous ... See full document
14
Ulam–Hyers stability analysis to a class of nonlinear implicit impulsive fractional differential equations with three point boundary conditions
... Impulsive boundary value problems (BVPs) corresponding to integer order differential equations with impulsive conditions have been considered extensively in the literature, but in ... See full document
27
Boundary value problems for impulsive multi-order Hadamard fractional differential equations
... type fractional differential equations. Another kind of fractional derivatives that appears side by side to Riemann-Liouville and Caputo derivatives in the literature is the fractional ... See full document
13
Periodic boundary value problems for impulsive conformable fractional integro-differential equations
... that fractional differential equations and impulsive differential equations serve effective tools in order to improve the mathematical modeling of several concepts arising in engineering and ... See full document
18
Existence of Periodic Solution for a Nonlinear Fractional Differential Equation
... the fractional-order models. Furthermore, fractional derivatives provide an excellent instrument for the description of memory and hereditary properties of various materials and processes due to the ... See full document
18
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