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Nonlinear
Implicit Caputo-Hadamard
Fractional
Differential
Equation with
Fractional
Boundary
Conditions
Nedjemeddine Derdar
Department of
Mathematics,
Higher Normal
School of
Technological
Education-Skikda,
Algeria
Email address:
nedjm1972@yahoo.fr
Doi :
https://doi.org/10.47013/15.4.14
Cited by :
Jordan J. Math &
Stat.,
15 (4B) (2022),
999 - 1014
PDF
Received on:
Aug. 3, 2021;
Accepted
on: Nov. 4,
2021
Abstract. In this
paper, we
establish the
existence and
uniqueness of
solutions for a
class of problem
for nonlinear
implicit
fractional
differential
equations of
Caputo-Hadamard
type with
fractional
boundary
conditions. The
results are
obtained by
using Banach
fixed point
theorem and
Schauder’s fixed
point theorem.
An example is
included to show
the
applicability of
our results.
Keywords: Boundary value
problem,
CaputoHadamard
fractional
derivative,
Implicit
fractional
differential
equations, Fixed
point theorems,
Existence and
uniqueness.
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