Existence and Hyers-Ulam type stability results for nonlinear coupled system of Caputo-Hadamard type fractional differential equations

S Muthaiah, D Baleanu, NG Thangaraj - 2021 - earsiv.cankaya.edu.tr
This paper aims to present the existence, uniqueness, and Hyers-Ulam stability of the
coupled system of nonlinear fractional differential equations (FDEs) with multipoint and …

Existence of solutions for nonlocal boundary value problem of Hadamard fractional differential equations

S Muthaiah, M Murugesan… - Advances in the Theory of …, 2019 - dergipark.org.tr
We investigate the existence and uniqueness of solutions for Hadamard fractional
differential equations with non-local integral boundary conditions, by using the Leray …

Existence of solutions for coupled higher-order fractional integro-differential equations with nonlocal integral and multi-point boundary conditions depending on lower …

M Subramanian, J Alzabut, MI Abbas, C Thaiprayoon… - Mathematics, 2022 - mdpi.com
In this article, we investigate the existence and uniqueness of solutions for a nonlinear
coupled system of Liouville–Caputo type fractional integro-differential equations …

Existence of solutions for nonlinear fractional differential equations and inclusions depending on lower-order fractional derivatives

S Muthaiah, D Baleanu - Axioms, 2020 - mdpi.com
This article deals with the solutions of the existence and uniqueness for a new class of
boundary value problems (BVPs) involving nonlinear fractional differential equations …

[PDF][PDF] Stability and existence analysis to a coupled system of Caputo type fractional differential equations with Erdelyi-kober integral boundary conditions

M Subramanian, D Baleanu - Applied Mathematics & Information …, 2020 - researchgate.net
This article focuses on the Hyers-Ulam type stability, existence and uniqueness of solutions
for new types of coupled boundary value problems involving fractional differential equations …

Existence and uniqueness of solutions for coupled systems of Liouville-Caputo type fractional integrodifferential equations with Erdélyi-Kober integral conditions

M Subramanian, A Zada - International Journal of Nonlinear …, 2021 - degruyter.com
In this paper, we examine a coupled system of fractional integrodifferential equations of
Liouville-Caputo form with nonlinearities depending on the unknown functions, as well as …

On Caputo-Hadamard type fractional differential equations with nonlocal discrete boundary conditions

M Manigandan, M Subramanian… - Discontinuity …, 2021 - lhscientificpublishing.com
This paper studies a new class of boundary value problems of Caputo-Hadamard fractional
differential equations of order $\varrho\in (2, 3] $ supplemented with nonlocal multi-point …

Fractional differential equations involving Hadamard fractional derivatives with nonlocal multi-point boundary conditions

M Subramanian, M Manigandan… - Discontinuity …, 2020 - lhscientificpublishing.com
In this paper, we investigate the existence and uniqueness of solutions for the Hadamard
fractional boundary value problems with nonlocal multipoint boundary conditions. By using …

Analysis of boundary value problem with multi-point conditions involving Caputo-Hadamard fractional derivative

M Subramanian, T Nandha Gopal - Proyecciones (Antofagasta), 2020 - SciELO Chile
We study the boundary value problems (BVPs) of the Caputo-Hadamard type fractional
differential equations (FDEs) supplemented by multi-point conditions. Many new results of …

Existence of solutions for the Caputo-Hadamard fractional diσerential equations and inclusions

S Muthaiah, D Baleanu, M Murugesan… - Journal of Physics …, 2021 - iopscience.iop.org
In this article, we investigate the existence results, with multi-point and integral boundary
conditions, for Caputo-Hadamard fractional diσerential equations (CHFDEs) and inclusions …