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

11 citations · 34 across the 6 of their papers we have counts for

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6 papers

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…