Oscillation theorems for conformable fractional differential equations with damping
نویسندگان
چکیده
In this study, we study the oscillatory solutions of conformable fractional differential equations with damping term. Some examples have been given to illustrate results.
منابع مشابه
On Comparison Theorems for Conformable Fractional Differential Equations
In this paper the more general comparison theorems for conformable fractional differential equations is proposed and tested. Thus we prove some inequalities for conformable integrals by using the generalization of Sturm’s separation and Sturm’s comparison theorems. The results presented here would provide generalizations of those given in earlier works. The numerical example is also presented t...
متن کاملOscillation Theorems for Second Order Nonlinear Differential Equations with Damping
Some oscillation criteria for solutions of a general ordinary differential equation of second order of the form (r(t)ψ(x(t))ẋ(t))+h(t)ẋ(t)+q(t)φ(g(x(t)),r(t)ψ(x(t))ẋ(t)) = H(t,x(t), ẋ(t)) with alternating coefficients are discussed. Our results improve and extend some existing results in the literature. Some illustrative examples are given with its numerical solutions which are computed using R...
متن کاملSome New Oscillation Criteria for a Class of Nonlinear Fractional Differential Equations with Damping Term
Several oscillation criteria are established for nonlinear fractional differential equations of the form{ a(t) [( r(t)g ( D−x(t) ))′]η}′ −F(t,∫ ∞ t (v− t)−αx(v)dv ) = 0, where D−x(t) is the Liouville right-side fractional derivative of order α ∈ (0,1) of x(t),η = 2n+1 2m+1 , and n,m∈N . F(t,G)∈C([t0,∞)×R;R) , and there exists function q(t)∈ C([t0,∞);R+) such that F(t,G) Gη q(t) for G = 0 and x ...
متن کاملInterval Oscillation Criteria for a Class of Nonlinear Fractional Differential Equations with Nonlinear Damping Term
In this paper, based on certain variable transformation, we apply the known (G’/G) method to seek exact solutions for three fractional partial differential equations: the space fractional (2+1)-dimensional breaking soliton equations, the space-time fractional Fokas equation, and the spacetime fractional Kaup-Kupershmidt equation. The fractional derivative is defined in the sense of modified Rie...
متن کاملMulti-step conformable fractional differential transform method for solving and stability of the conformable fractional differential systems
In this article, the multi-step conformable fractional differential transform method (MSCDTM) is applied to give approximate solutions of the conformable fractional-order differential systems. Moreover, we check the stability of conformable fractional-order L\"{u} system with the MSCDTM to demonstrate the efficiency and effectiveness of the proposed procedure.
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Thermal Science
سال: 2022
ISSN: ['0354-9836', '2334-7163']
DOI: https://doi.org/10.2298/tsci22s2695c