Results 51 to 60 of about 1,446 (157)

Some novel existence and stability results for a nonlinear implicit fractional differential equation with non-local boundary conditions

Partial Differential Equations in Applied Mathematics
This paper investigates nonlinear implicit fractional differential equations involving Hilfer-Katugampola fractional derivatives. Novel techniques are developed to establish the existence and uniqueness of solutions for the proposed problem using fixed ...
Rahman Ullah Khan, Ioan-Lucian Popa
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Periodic boundary value problems for fractional implicit differential equations involving Hilfer fractional derivative

Issues of Analysis, 2020
Motivated by the idea of implicit ordinary differential equations, in this work, authors consider a class of periodic boundary value problem for nonlinear implicit fractional differential equations. The derivative is taken in the sense of Hilfer fractional derivative.
M. A. Almalahi, M. S. Abdo, S. K. Panchal   +2 more
openaire   +3 more sources

Existence and Ulam stability for nonlinear implicit differential equations with Riemann-Liouville fractional derivative

Demonstratio Mathematica, 2019
In this paper, we establish the existence and uniqueness of solutions for a class of initial value problem for nonlinear implicit fractional differential equations with Riemann-Liouville fractional derivative, also, the stability of this class of problem.
Benchohra Mouffak, Bouriah Soufyane, Nieto Juan J.   +2 more
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Existence and uniqueness results for the coupled systems of implicit fractional differential equations with periodic boundary conditions

Advances in Difference Equations, 2018
In this paper, we study the periodic boundary value problems for the coupled systems of fractional implicit differential equations. Basing on the coincidence degree theory, we establish the existence and uniqueness theorems.
Wei Zhang, Wenbin Liu, Tingting Xue
doaj   +1 more source

Ulam stability and solution behavior of implicit fractional Volterra-Fredholm equations via generalized Hilfer-Katugampola calculus

Boundary Value Problems
This article investigates the existence, uniqueness, and stability of solutions for a class of nonlinear implicit fractional Volterra-Fredholm integro-differential equations involving the Hilfer-Katugampola fractional derivative.
Maha M. Hamood, Abdulrahman A. Sharif, Kirtiwant P. Ghadle   +2 more
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Analysis of coupled systems of implicit impulsive fractional differential equations involving Hadamard derivatives

Advances in Difference Equations, 2019
We present some results on the existence, uniqueness and Hyers–Ulam stability to the solution of an implicit coupled system of impulsive fractional differential equations having Hadamard type fractional derivative.
Usman Riaz, Akbar Zada, Zeeshan Ali, Yujun Cui, Jiafa Xu   +4 more
doaj   +1 more source

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  

Hyers–Ulam–Mittag-Leffler Stability for a System of Fractional Neutral Differential Equations

Discrete Dynamics in Nature and Society, 2020
This article concerns with the existence and uniqueness for a new model of implicit coupled system of neutral fractional differential equations involving Caputo fractional derivatives with respect to the Chebyshev norm.
Manzoor Ahmad, Jiqiang Jiang, Akbar Zada, Zeeshan Ali, Zhengqing Fu, Jiafa Xu   +5 more
doaj   +1 more source

Numerical Solution of Fractional Differential Equations: A Survey and a Software Tutorial

Mathematics, 2018
Solving differential equations of fractional (i.e., non-integer) order in an accurate, reliable and efficient way is much more difficult than in the standard integer-order case; moreover, the majority of the computational tools do not provide built-in ...
Roberto Garrappa
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Qualitative Analysis of Implicit Dirichlet Boundary Value Problem for Caputo-Fabrizio Fractional Differential Equations

Journal of Function Spaces, 2020
This article studies a class of implicit fractional differential equations involving a Caputo-Fabrizio fractional derivative under Dirichlet boundary conditions (DBCs).
Rozi Gul, Muhammad Sarwar, Kamal Shah, Thabet Abdeljawad, Fahd Jarad   +4 more
doaj   +1 more source