On the Ulam–Hyers–Rassias stability for nonlinear fractional differential equations using the -Hilfer operator

JVC Sousa, EC de Oliveira - Journal of Fixed Point Theory and …, 2018 - Springer
We study the existence and uniqueness of solution of a nonlinear Cauchy problem involving
the ψ ψ-Hilfer fractional derivative. In addition, we discuss the Ulam–Hyers and Ulam–Hyers …

Iterative learning control for impulsive fractional order time‐delay systems with nonpermutable constant coefficient matrices

M Aydin, NI Mahmudov - … Journal of Adaptive Control and Signal …, 2022 - Wiley Online Library
We introduce an impulsive fractional order time‐delay systems with nonpermutable constant
coefficient matrices whose solution is given by delayed perturbation of Mittag–Leffler type …

[PDF][PDF] Integral boundary value problems for implicit fractional differential equations involving Hadamard and Caputo-Hadamard fractional derivatives

P Karthikeyan, R Arul - Kragujevac J. Math, 2021 - researchgate.net
FDE's are considered to be a different model to integer differential equations. It has been
proved by applying importance in the modeling of various fields of physical sciences …

Uniqueness and stability results for non-local impulsive implicit hadamard fractional differential equations

P Karthikeyan, R Arul - Journal of Applied Nonlinear …, 2020 - lhscientificpublishing.com
We analyze the uniqueness and Ulam stability results for implicit impulsive fractional
differential equations connecting nonlocal form of the Hadamard derivative of fractional …

Some existence and stability results of Hilfer-Hadamard fractional implicit differential fractional equation in a weighted space

L Palve, MS Abdo, SK Panchal - arXiv preprint arXiv:1910.08369, 2019 - arxiv.org
This paper studies a nonlinear fractional implicit differential equation (FIDE) with boundary
conditions involving a HilferHadamard type fractional derivative. We establish the …

Some Results on Sequential Fractional Integro-Differential Equations with Anti-periodic Boundary Conditions

S Suresh, G Thamizhendhi - International Journal of Mathematics …, 2019 - ijmttjournal.org
Some Results on Sequential Fractional Integro-Differential Equations with Anti-periodic Boundary
Conditions Page 1 International Journal of Mathematics Trends and Technology (IJMTT) …

[PDF][PDF] Discontinuity, Nonlinearity, and Complexity

JEN Valdes, JAC Medina, PM Guzmán… - Discontinuity …, 2019 - researchgate.net
In this paper we present some criteria on the oscillation of solutions of a Non Conformable
Differential Equations of α+ α order, under natural considerations. The local derivative …

[引用][C] Nonlocal multipoint boundary value problems for Caputo-Hadamard fractional integro-differential equations

P Karthikeyan, K Venkatachalam - Appl Math, 2020

[引用][C] IJMTT Call for Paper October-2022