Results 11 to 20 of about 35,364 (303)

THEORY OF FRACTIONAL IMPLICIT DIFFERENTIAL EQUATIONS WITH COMPLEX ORDER

Journal of Universal Mathematics, 2019
In this paper, we consider boundary value problems for the following nonlinear implicit differential equations with complex order D +x(t) = f t,x(t),D +x(t) , ? = m+i?, t ? J := [0,T],  ax(0)+bx(T) = c,where D + is the Caputo fractional derivative of order ? ? C. Let ? ? R , 0 < ? < 1, m ? (0,1], and f : J ×R ?
E. M. Elsayed, D. Vivek, K. Kanagarajan
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Stability via successive approximation for nonlinear implicit fractional differential equations [PDF]

Moroccan Journal of Pure and Applied Analysis, 2017
In this paper we are concerned with nonlinear implicit fractional differential equations with initial conditions. We prove the existence and uniqueness results by using modified version of contraction principle.
Kucche Kishor D., Sutar Sagar T.
doaj   +2 more sources

Stability for impulsive implicit Hadamard fractional differential equations

Malaya Journal of Matematik, 2018
In this paper, we analyze the uniqueness and stability for implicit fractional differential equations with impulsive conditions involving the hadamard derivative of fractional order $\alpha$. An illustrative example is also presented.
P. Karthikeyan, R. Arul
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Nonlinear implicit differential equations of fractional order at resonance

Electronic Journal of Differential Equations, 2016
In this article, we obtain an existence result for periodic solutions to nonlinear implicit fractional differential equations with Caputo fractional derivatives. Our main tools is coincidence degree theory, which was first introduced by Mawhin.
Mouffak Benchohra, Soufyane Bouriah, John R. Graef   +2 more
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Existence and Uniqueness Results for Nonlinear Implicit Fractional Differential Equations with Boundary Conditions [PDF]

Romanian Journal of Mathematics and Computer Science, 2014
In this paper, we establish the existence and uniqueness of solution for a class of boundary value problems for implicit fractional differential equations with Caputo fractional derivative.
Mouffak Benchohra, Jamal E. Lazreg
doaj   +1 more source

Topology degree results on a G-ABC implicit fractional differential equation under three-point boundary conditions. [PDF]

PLoS One
Rezapour S, Thabet STM, Rafeeq AS, Kedim I, Vivas-Cortez M, Aghazadeh N.   +5 more
europepmc   +2 more sources

Investigation of Ulam Stability Results of a Coupled System of Nonlinear Implicit Fractional Differential Equations [PDF]

Mathematics, 2019
Zeeshan Ali, Poom Kumam, Kamal Shah
exaly   +2 more sources

Mittag-Leffler Euler ∇-differences for Caputo fractional-order systems

Results in Physics, 2022
Exponential Euler differences have got rapid development recently for integer-order differential equations. But there are few papers focusing on this difference to fractional differential equations.
Tianwei Zhang, Yongkun Li, Jianwen Zhou
doaj   +1 more source

Existence Results for a Multipoint Fractional Boundary Value Problem in the Fractional Derivative Banach Space

Axioms, 2022
We study a class of nonlinear implicit fractional differential equations subject to nonlocal boundary conditions expressed in terms of nonlinear integro-differential equations.
Djalal Boucenna, Amar Chidouh, Delfim F. M. Torres   +2 more
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On Implicit Time–Fractal–Fractional Differential Equation

Axioms, 2022
An implicit time–fractal–fractional differential equation involving the Atangana’s fractal–fractional derivative in the sense of Caputo with the Mittag–Leffler law type kernel is studied. Using the Banach fixed point theorem, the well-posedness of the solution is proved. We show that the solution exhibits an exponential growth bound, and, consequently,
McSylvester Ejighikeme Omaba, Soh Edwin Mukiawa, Eze R. Nwaeze   +2 more
openaire   +2 more sources