arXiv subjects

Sandeep P. Bhairat

Publications and source records attributed to Sandeep P. Bhairat.

5 recordsLinked to original sources

arXiv2019

Existence of solution for Hilfer fractional differential problem with nonlocal boundary condition

This paper is devoted to study the existence of a solution to Hilfer fractional differential equation with nonlocal boundary condition. We use the equivalent integral equation to study the considered Hilfer differential problem with nonlocal boundary condition. The Monch type fixed point theorem and the measure of the noncompactness technique are the main tools in this study. We demonstrate the existence of a solution with a suitable illustrative example.

math.GM↗

arXiv2017

On existence and approximation of solution of nonlinear Hilfer fractional differential equation

This paper gives the existence and uniqueness results for solution of fractional differential equations with Hilfer derivative. Using some new techniques and generalizing the restrictive conditions imposed on considered function, the iterative scheme for uniformly approximating the solution is established.

math.CA↗

arXiv2017

On Ulam type stability for nonlinear implicit fractional differential equations

In present paper, we establish sufficient conditions for existence and stability of solutions for system of nonlinear implicit fractional differential equations. The main techniques are based on method of successive approximations. Finally, an illustrative example is given to show the applicability of our theoretical results.

math.CA↗

arXiv2017

Existence and continuation of solutions of Hilfer fractional differential equations

In this paper we study the existence and continuation of solution to general fractional differential equation with Hilfer fractional derivative. First we establish new local existence theorems. Then we derive the continuation theorems. With the help of continuation theorems derived in this paper, several global existence results are constructed.

math.CA↗

arXiv2017

Existence and uniqueness of solution of Cauchy-type problem for Hilfer fractional differential equations

The Cauchy-type problem for a nonlinear differential equation involving Hilfer fractional derivative is considered. We prove existence, uniqueness and continuous dependence of a solution for Cauchy-type problem using successive approximations and generalized Gronwall inequality.

math.CA↗