On a fractional Caputo–Hadamard inclusion problem with sum boundary value conditions by using approximate endpoint property

S Etemad, S Rezapour… - … Methods in the Applied …, 2020 - Wiley Online Library
In the present research manuscript, we introduce a novel general fractional boundary value
inclusion problem and investigate the necessary and sufficient conditions for desired …

Nonlocal boundary value problem for generalized Hilfer implicit fractional differential equations

AD Mali, KD Kucche - Mathematical Methods in the Applied …, 2020 - Wiley Online Library
In this paper, we derive the equivalent fractional integral equation to the nonlinear implicit
fractional differential equations involving Ψ‐Hilfer fractional derivative subject to nonlocal …

On the impulsive implicit ψ‐Hilfer fractional differential equations with delay

JP Kharade, KD Kucche - Mathematical Methods in the Applied …, 2020 - Wiley Online Library
In this paper, we investigate the existence and uniqueness of solutions and derive the Ulam‐
Hyers‐Mittag‐Leffler stability results for impulsive implicit Ψ‐Hilfer fractional differential …

On the nonlinear Ψ-Hilfer fractional differential equations

KD Kucche, AD Mali, JVC Sousa - Computational and Applied …, 2019 - Springer
We consider the nonlinear Cauchy problem for\varPsi Ψ-Hilfer fractional differential
equations and investigate the existence, interval of existence and uniqueness of solution in …

[HTML][HTML] On the existence of solutions for fractional boundary value problems on the ethane graph

S Etemad, S Rezapour - Advances in Difference Equations, 2020 - Springer
A few researchers have studied fractional differential equations on star graphs. They use
star graphs because their method needs a common point which has edges with other nodes …

Existence and uniqueness results for nonlinear hybrid implicit Caputo-Hadamard fractional differential equations

A Ardjouni, A Lachouri, A Djoudi - Open Journal of …, 2019 - science.sdpublishers.org
In this paper, we use the Banach fixed point theorem to obtain the existence, interval of
existence and uniqueness of solutions for nonlinear hybrid implicit Caputo-Hadamard …

A survey on the initial value problems of fuzzy implicit fractional differential equations

HN Van, V Ho - Fuzzy Sets and Systems, 2020 - Elsevier
The purpose of this paper is to present some basic theories of various classes of initial value
problems of implicit fractional differential equation involving the Caputo-fuzzy-type, Riemann …

[HTML][HTML] On a fractional Caputo–Hadamard problem with boundary value conditions via different orders of the Hadamard fractional operators

S Etemad, S Rezapour, FM Sakar - Advances in Difference Equations, 2020 - Springer
We investigate the existence of solutions for a Caputo–Hadamard fractional integro-
differential equation with boundary value conditions involving the Hadamard fractional …

[PDF][PDF] On existence and stability results for nonlinear fractional delay differential equations

KD Kucche, ST Sutar - Bol. Soc. Parana. Mat, 2018 - vivekanandcollege.ac.in
Kishor D. Kucche and Sagar T. Sutar abstract: We establish existence and uniqueness
results for fractional order delay differential equations. It is proved that successive …

Initial time difference quasilinearization method for fractional differential equations involving generalized Hilfer fractional derivative

KD Kucche, AD Mali - Computational and Applied Mathematics, 2020 - Springer
We build the quasilinearization method with initial time difference for nonlinear fractional
differential equations (FDEs) involving generalized Hilfer fractional derivative under various …