[PDF] Top 20 New existence results for a coupled system of nonlinear differential equations of arbitrary order
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New existence results for a coupled system of nonlinear differential equations of arbitrary order
... the existence of solutions for a coupled system of nonlinear fractional differential ...equations. New existence and uniqueness results are established using ... See full document
11
Iterative scheme to a coupled system of highly nonlinear fractional order differential equations
... for existence of maximal and minimal solutions to a coupled system of highly nonlinear differential equations of fractional order with mixed type boundary ... See full document
14
Existence and Uniqueness of Solutions for Coupled Systems of Higher-Order Nonlinear Fractional Differential Equations
... becomes 3.3, and an application of Cauchy function yields the first equation of 3.6. The converse of the theorem follows by applying the arguments used to prove the converse of Lemma 2.7. Similarly, it can be shown that ... See full document
17
Existence and Uniqueness of Positive Solutions for a Coupled System of Nonlinear Fractional Differential Equations
... Fractional differential equations can describe many phe- nomena in various fields of engineering and scientific disciplines such as control theory, physics, chemistry, biology, economics, mechanics and ... See full document
9
Existence and stability analysis to a coupled system of implicit type impulsive boundary value problems of fractional order differential equations
... In the beginning, this concept was applied to ordinary differential equations and then ex- tended to FODEs. We refer the readers to [39–44]. Very recently, Ali et al. [45], studied the Ulam-type stability for ... See full document
21
EXISTENCE OF NONOSCILLATORY SOLUTIONS FOR SECOND-ORDER NONLINEAR NEUTRAL DIFFERENTIAL EQUATIONS WITH VARIABLE DELAYS
... the existence of nonoscillatory solutions of second order nonlinear neutral differential equations with variable ...obtain new sufficient conditions for the existence of ... See full document
8
Some existence theorems for fractional integro-differential equations and inclusions with initial and non-separated boundary conditions
... the existence of solutions for a new class of boundary value problems of nonlinear fractional integro-differential equations and inclusions of arbitrary order with initial and ... See full document
40
Applications of Fixed Point Theorems for Coupled Systems of Fractional Integro-Differential Equations Involving Convergent Series
... Abstract—The existence and uniqueness of solutions in an appropriate Banach space is established for a coupled system of integro-differential equations involving convergent series, with ... See full document
6
On using topological degree theory to investigate a coupled system of non linear hybrid differential equations
... the existence of solutions of nonlinear fractional differential ...some results on the existence of solutions are ...equivalent system of Fredholm integral ... See full document
11
On a coupled system of higher order nonlinear Caputo fractional differential equations with coupled Riemann–Stieltjes type integro multipoint boundary conditions
... We arrange the rest of the paper as follows. Section 2 contains an auxiliary result that plays a key role in analyzing the given problem. Existence results for the problem (1.1)– (1.2) with the illustrative ... See full document
19
Existence and multiplicity of positive solutions for a coupled system of perturbed nonlinear fractional differential equations
... In this section, we first state some fundamental definitions and lemmas from fractional calculus and then, considering fixed point theory, we represent the Leray − Schauder fixed point index theorem and some related lemmas. ... See full document
16
2. Existence of solution to a coupled system of hybrid fractional differential equations
... of coupled systems of hybrid fractional order differential equations is not well studied and very few articles are available in ...studied existence and uniqueness results for ... See full document
10
Existence results of nonlocal boundary value problem for a nonlinear fractional differential coupled system involving fractional order impulses
... differential equations (see [1, 15–26, 30, ...differential coupled systems is more compli- cated and challenged than the study on a single fractional differential ...differential coupled systems and ... See full document
13
Nonlinear Coupled Fractional Order Systems with Integro-Multistrip-Multipoint Boundary Conditions
... the existence and uniqueness of solutions for a nonlinear system of coupled fractional differential equations equipped with nonlocal coupled integro-multistrip-multipoint ... See full document
18
Existence of solution for first-order coupled system with nonlinear coupled boundary conditions
... The new existence results are established for a nonlinear ordinary coupled system with nonlinear ...theoretical results. The existence results are ... See full document
9
Existence of nonoscillatory solutions for second-order nonlinear differential equations of neutral type
... the existence of nonoscillatory solutions of second order nonlinear neutral differential ...Our results include as special cases some well-known results for linear and ... See full document
11
Existence results for fractional differential equations of arbitrary order with nonlocal integral boundary conditions
... differential equations has gained con- siderable attention and several interesting results involving a variety of boundary condi- tions have appeared in the recent literature on the ...the existence ... See full document
13
Some results for a four-point boundary value problems for coupled system involving Caputo derivative
... fractional differential equations had attracted the attention of many authors, see for example, [4, 6, 8, 9, 15, 16, 19, 27] and the references ...of coupled system of fractional order ... See full document
15
Existence and uniqueness results for a nonlinear differential equations of arbitrary order
... fractional differential equations arise in many engineering and scientific disciplines as the mathematical modeling of systems and processes in the fields of physics, chemistry, aerodynamics, ... See full document
16
Existence of periodic solutions and homoclinic orbits for third order nonlinear differential equations
... The existence of periodic solutions for the third-order differential equation ˙ x ¨ + ω 2 x ˙ = µF (x, x, ˙ x) ¨ is ...in order to reduce it to a second-order nonlinear differential ... See full document
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