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Browsing by Subject "Hyers-Ulam Stability"

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An effective method for solving nonlinear integral equations involving the Riemann-Liouville fractional operator

Paul, Supriya Kumar; Mishra, Lakshmi Narayan; Mishra, Vishnu Narayan; Baleanu, Dumitru (2023)

In this paper, under some conditions in the Banach space C([0, β], R), we establish the existence and uniqueness of the solution for the nonlinear integral equations involving the Riemann-Liouville fractional operator ...
Existence and stability analysis to a coupled system of implicit type impulsive boundary value problems of fractional-order differential equations

Ali, Arshad; Shah, Kamal; Jarad, Fahd; Gupta, Vidushi; Abdeljawad, Thabet (Springer Open, 2018-03-08)

In this paper, we study a coupled system of implicit impulsive boundary value problems (IBVPs) of fractional differential equations (FODEs). We use the Schaefer fixed point and Banach contraction theorems to obtain conditions ...
Existence theorems and Hyers-Ulam stability for a coupled system of fractional differential equations with p-Laplacian operator

Khan, Hasib; Li, Yongjin; Chen, Wen; Baleanu, Dumitru; Khan, Aziz (Springer, 2017-10-30)

In this paper, we study the existence and uniqueness of solution (EUS) as well as Hyers-Ulam stability for a coupled system of FDEs in Caputo's sense with nonlinear p-Laplacian operator. For this purpose, the suggested ...
Existence, uniqueness and Hyers-Ulam stability of random impulsive stochastic integro-differential equations with nonlocal conditions

Baleanu, Dumitru; Kasinathan, Ramkumar; Kasinathan, Ravikumar; Sandrasekaran, Varshini (2023)

In this article, we study the existence and stability results of mild solutions for random impulsive stochastic integro-differential equations (RISIDEs) with noncompact semigroups and resolvent operators in Hilbert spaces. ...
General solution and generalized Hyers-Ulam stability for additive functional equations

Santra, Shyam Sundar; Arulselvam, Manimaran; Baleanu, Dumitru; Govindan, Vediyappan; Khedher, Khaled Mohamed (2023)

In this paper, we introduce new types of additive functional equations and obtain the solutions to these additive functional equations. Furthermore, we investigate the Hyers-Ulam stability for the additive functional ...
Hyers-Ulam Stability Of Fractional Stochastic Differential Equations With Random Impulse

Baleanu, Dumitru; Kandasamy, Banupriya; Kasinathan, Ramkumar; Kasinathan, Ravikumar; Sandrasekaran, Varshini (2023)

The goal of this study is to derive a class of random impulsive non-local fractional stochastic differential equations with finite delay that are of Caputo-type. Through certain constraints, the existence of the mild ...
On stability analysis and existence of positive solutions for a general non-linear fractional differential equations

Devi, Amita; Kumar, Anoop; Baleanu, Dumitru; Khan, Aziz (2020-06-19)

In this article, we deals with the existence and uniqueness of positive solutions of general non-linear fractional differential equations (FDEs) having fractional derivative of different orders involving p-Laplacian operator. ...
Study on Krasnoselskii's fixed point theorem for Caputo-Fabrizio fractional differential equations

Eiman; Shah, K.; Sarwar, M.; Baleanu, Dumitru (2020-04-25)

This note is concerned with establishing existence theory of solutions to a class of implicit fractional differential equations (FODEs) involving nonsingular derivative. By using usual classical fixed point theorems of ...
Ulam stability results to a class of nonlinear implicit boundary value problems of impulsive fractional differential equations

Ali, Arshad; Shah, K.; Baleanu, Dumitru (Pushpa Publishing House, 2019-01-08)

In this paper, we derive some sufficient conditions which ensure the existence and uniqueness of a solution for a class of nonlinear three point boundary value problems of fractional order implicit differential equations ...

Now showing items 1-9 of 9

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