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Modeling the non-integer dynamics of a vector-borne infection with nonlocal and nonsingular kernel. [PDF]

Sci Rep
Ullah N, Shah Z, Jan R, Vrinceanu N, Farhan M, Antonescu E.   +5 more
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Sobolev-Type Nonlocal Conformable Stochastic Differential Equations

Bulletin of the Iranian Mathematical Society, 2021
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
H. Ahmed
semanticscholar   +2 more sources

Nonlocal differential equations with convex convolution coefficients

Journal of Fixed Point Theory and Applications, 2022
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C. Goodrich
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Perturbed Nonlocal Stochastic Functional Differential Equations

Qualitative Theory of Dynamical Systems, 2020
The authors discuss the asymptotic behavior of the solution for a class of perturbed nonlocal stochastic functional differential equations. They evaluate the distance between the latter and of the unperturbed solution, in finite time-intervals, and on maximal intervals as the small perturbations tend to zero. These results non-trivially extend previous
Zhang, Qi, Ren, Yong
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ASYMPTOTICALLY ALMOST PERIODIC SOLUTIONS TO NONLOCAL DIFFERENTIAL EQUATIONS

Rocky Mountain Journal of Mathematics, 2022
The paper is focused on the nonlocal fractional differential equation with an initial condition \[ \left\{\begin{array}{l}\displaystyle\frac{d}{dt}\left[k*(u-u_0)\right](t)+Au(t)=f(t,u(t)),\,\,\,t>0,\\ u(0)=u_0, \end{array}\right.\tag{1} \] where \(u:[0,\infty)\to H\) is the unknown function, \(H\) is a separable Hilbert space, the kernel \(k\in L_ ...
Nguyen, Huong T. T., Nguyen, Thang N., Vu, Luong T.   +2 more
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Existence and uniqueness for ψ‐Hilfer fractional differential equation with nonlocal multi‐point condition

Mathematical methods in the applied sciences, 2020
In this paper, we study and investigate the ψ−Hilfer fractional differential equation with nonlocal multi‐point condition of the form: Da+q,p;ψu(t)=f(t,u(t),Da+q,p;ψu(t)),t∈[a,b],Ia+1−r;ψu(a)=∑i=1mβiu(ηi),q≤r=q+p ...
Piyachat Borisut, Poom Kumam, Idris Ahmed, Wachirapong Jirakitpuwapat   +3 more
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Nonlocal Differential Equations with Convolution Coefficients and Applications to Fractional Calculus

Advanced Nonlinear Studies, 2021
The existence of at least one positive solution to a large class of both integer- and fractional-order nonlocal differential equations, of which one model case is - A ⁢ ( ( b * u q ) ⁢ ( 1 ) ) ⁢ u ′′ ⁢ ( t ) = λ ⁢ f ⁢ ( t , u ⁢ ( t ) ) , t ∈ ( 0 , 1 ...
C. Goodrich
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Impulsive nonlocal differential equations through differential equations on time scales

Applied Mathematics and Computation, 2011
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Cichoń, Mieczysław, Satco, Bianca, Sikorska-Nowak, Aneta   +2 more
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Nonlocal Intuitionistic Fuzzy Differential Equation

2020
In this paper, we shall prove the existence and uniqueness theorem of solution of intuitionistic fuzzy differential equation with nonlocal condition by using the contraction mapping principle and we establish some property of the solution like the continuous dependence.
R. Ettoussi, Said Melliani, S. Chadli
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Fuzzy differential equation with nonlocal condition

Fuzzy Sets and Systems, 2000
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Park, Jong-Yeoul, Han, Hyo Keun, Son, Kuk-Hyeon   +2 more
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