First, we construct a reformative version of the power-mean integral inequality in the sense
of fractal space. Second, we define what we named as the generalized (s, P)-convex …

In this paper, we consider initial value problems for two different classes of implicit ϕ-Hilfer
fractional pantograph differential equations. We use different approach that is based on α− ψ …

In this study, a hybrid technique for improving the differential transform method (DTM),
namely the modified differential transform method (MDTM) expressed as a combination of …

Our main concern in this study is to present the generalized results to investigate the
existence of solutions to nonlinear fractional boundary value problems (FBVPs) with …

To lower the concentration of organic pollutants in the effluent stream, wastewater must be
treated before being discharged into the environment. The question of whether wastewater …

In this study, the main focus is on an investigation of the sufficient conditions of existence
and uniqueness of solution for two‐classess of nonlinear implicit fractional pantograph …

This manuscript investigates an extended boundary value problem for a fractional
pantograph differential equation with instantaneous impulses under the Caputo proportional …

In this research work, a class of multi-term fractional pantograph differential equations
(FODEs) subject to antiperiodic boundary conditions (APBCs) is considered. The ensuing …

In this paper, the authors introduced a novel definition based on Hilfer fractional derivative,
which name $ q $-Hilfer fractional derivative of variable order. And the uniqueness of …

Implicit Fractional Differential Equation with Nonlocal Fractional Integral Conditions Page 1 ISSN
1686-0209 Thai Journal of Mathematics Volume 19 Number 3 (2021) Pages 993–1003 …