Implicit Fractional Differential equations
Ulam Stability for System of Nonlinear Implicit Fractional Differential Equations
... nonlinear implicit fractional differential equations, Moroccan ...to fractional differential equations with Hadamard derivatives, Advances in Difference Equations, ...
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Impulsive initial value problems for a class of implicit fractional differential equations
... Abstract In this article we consider, impulsive initial value problems for a class of implicit fractional differential equations involving the Caputo fractional derivative of order β ∈ ...
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Ulam type stability for a class of implicit fractional differential equations with non instantaneous integral impulses and boundary condition
... branches of science, engineering as well as in medical fields. The fractional differential models describe many real world phenomena in different fields, i.e., biology, dynamical systems, physics, control theory, ...
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Existence and uniqueness results for the coupled systems of implicit fractional differential equations with periodic boundary conditions
... As an important issue for the theory of FDEs, the existence, uniqueness, and multiplicity of solutions for the nonlinear fractional initial value problems (FIVPs for short) and frac- tional boundary value problems ...
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Stability for impulsive implicit Hadamard fractional differential equations
... They concerned the UH (Ulam-Hyers) stability and gen- eralized UH (Ulam-Hyers) stability for a implicit fractional differential equations (IFDE’s)with hadamard derivative [8, 9, 14, 15, 18, ...
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Stability analysis of a nonlinear coupled implicit switched singular fractional differential system with p Laplacian
... The objective of this paper is to use the concepts mentioned in [8] to examine the exis- tence, uniqueness as well as different kinds of Hyers–Ulam stability for the solution of the nonlinear coupled implicit ...
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Analysis of coupled systems of implicit impulsive fractional differential equations involving Hadamard derivatives
... In this paper, we have used the Krasnoselskii fixed point theorem to achieve the necessary criteria for the existence and uniqueness of the solution of considered implicit coupled impulsive fractional ...
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Euler’s Method for Fractional Differential Equations
... It is obvious that the backward Euler’s algorithm is implicit. Euler’s method and backward Euler’s method have their own characteristics. Euler’s method is much more convenient. But taking the numeri- cal ...
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Ulam stability results to a class of nonlinear implicit boundary value problems of impulsive fractional differential equations
... By successful applications of nonlinear analysis and classical fixed point theory, we have developed adequate conditions under which the proposed class of implicit impulsive FODEs has at least one solution. ...
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Ulam–Hyers stability analysis to a class of nonlinear implicit impulsive fractional differential equations with three point boundary conditions
... In this article, we discuss the sufficient conditions for the existence, uniqueness and stability of solutions to a class of nonlinear impulsive boundary value problem of fractional order differential ...
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Existence and stability analysis to a coupled system of implicit type impulsive boundary value problems of fractional order differential equations
... In this paper, we study a coupled system of implicit impulsive boundary value problems (IBVPs) of fractional differential equations (FODEs). We use the Schaefer fixed point and Banach contraction ...
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On the oscillation of Hadamard fractional differential equations
... for fractional differential and difference equations was studied by some authors (see ...certain fractional dynamical systems has gained a high impact in the last few years [14, ...of fractional ...
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Note on weakly fractional differential equations
... differential equations (DEs) appear in FDEs as well, like asymptotic properties of solutions or ...weakly fractional, which can be used to seek numerically the solutions of ...
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Differential inequalities for a finite system of hybrid Caputo fractional differential equations
... Similarly, differential inequalities proved in Theorem ...for differential and integral equations. Hence, differential and integral inequalities have importance place in the theory of ...
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NONEXISTENCE OF POSITIVE SOLUTIONS FOR A SYSTEMS OF COUPLED FRACTIONAL BVPS WITH p-LAPLACIAN
... This paper is organized as follows, In Section 2, we present the necessary definitions and properties from the fractional calculus and construct the Green’s function bounds for the homogeneous FBVP. In Section 3, ...
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Fuzzy Local Fractional Differential Equations
... local fractional H-differentiability is based on the Riemann-Liouville H-differentiability for a fuzzy-valued function of a single variable and some of its properties are considered, are given in section ...local ...
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Oscillation criteria of fractional differential equations
... where D α − y is the Liouville right-sided fractional derivative of order a Î (0,1) of y and h > 0 is a quotient of odd positive integers. We establish some oscillation criteria for the equation by using a ...
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Random fractional functional differential equations
... appropriate Banach space. In [23], authors proved the existence results for a random fractional equation under a Carath´ eodory condition. Existence results for the extremal random solution are also proved. ...
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Fractional differential equations with causal operators
... functional equations with causal operators has seen a rapid development in the last few ...differential equations with causal operators were considered, for example, in papers [–], in particular, the ...
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On solutions of fractional Riccati differential equations
... ods to prove the efficiency of the method. The IRKHSM is very powerful and accurate in obtaining approximate solutions for wide classes of the problem. The approximate solu- tion attained by the IRKHSM is uniformly ...
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