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20172019
most citedExistence and uniqueness of solution of Cauchy-type problem for Hilfer fractional differential equations

11 citations · 42 across the 12 of their papers we have counts for

collaborators

12 papers

math.GM2019

On existence of solution to nonlinear -Hilfer Cauchy-type problem

Mohammed S Abdo, S K Panchal, Sandeep P Bhairat

The aim of this paper is to obtain the existence of unique solution to nonlinear Cauchy-type problem. We consider the implicit nonlinear Cauchy-type problem with -Hilfer fractio…

math.GM2019★ 5 cited

Existence of solution for Hilfer fractional differential equations with boundary value conditions

Mohammed S Abdo, S K Panchal, Sandeep P Bhairat

In this paper, we consider a class of nonlinear fractional differential equations involving Hilfer derivative with boundary conditions. First, we obtain an equivalent integral for…

math.GM2019★ 1 cited

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

Hanan A. Wahash, Mohammed S. Abdo, Satish K. Panchal +1

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 s…

math.CA2018

Non-existence of Global Solutions for a Generalized Fractional Differential Problem

Sandeep P Bhairat

Aim of this paper is to study the non-existence of global solutions of the fractional differential problem involving generalized Katugampola derivative. We utilize the test functio…

math.CA2018

On Stability of Generalized Cauchy-type Problem

Sandeep P Bhairat

In this paper, we study the stability of solution of initial value problem for fractional differential equation involving generalized Katugampola derivative. Pachpatte inequality i…

math.CA2018★ 2 cited

New Approach to Existence of Solution of Weighted Cauchy-type Problem

Sandeep Pandurang Bhairat

We consider a singular fractional differential equation involving generalized Katugampola derivative and obtain the existence and uniqueness of its solution. A scheme for uniformly…

math.CA2017★ 1 cited

Existence and Stability of Fractional Differential Equations Involving Generalized Katugampola Derivative

Sandeep P Bhairat, D B Dhaigude

The existence and stability results for a class of fractional differential equations involving generalized Katugampola derivative are presented herein. Some fixed point theorems ar…

math.CA2017★ 3 cited

On Ulam type stability for nonlinear implicit fractional differential equations

D. B. Dhaigude, Sandeep P. Bhairat

In present paper, we establish sufficient conditions for existence and stability of solutions for system of nonlinear implicit fractional differential equations. The main technique…

math.CA2017★ 2 cited

Local existence and uniqueness of solutions for fractional differential problem with Hilfer-Hadamard fractional derivative

D B Dhaigude, Sandeep P Bhairat

This paper deals with the local existence and uniqueness results for the solution of fractional differential equations with Hilfer-Hadamrd fractional derivative. Using Picard's app…

math.CA2017★ 10 cited

Existence and continuation of solutions of Hilfer fractional differential equations

D. B. Dhaigude, Sandeep P. Bhairat

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 existe…

math.CA2017★ 11 cited

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

D. B. Dhaigude, Sandeep P. Bhairat

The Cauchy-type problem for a nonlinear differential equation involving Hilfer fractional derivative is considered. We prove existence, uniqueness and continuous dependence of a so…

math.CA2017★ 7 cited

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

D. B. Dhaigude, Sandeep P. Bhairat

This paper gives the existence and uniqueness results for solution of fractional differential equations with Hilfer derivative. Using some new techniques and generalizing the restr…