  The spin-down law of pulsars is generally perturbed by two types of timing
irregularities: glitches and timing noise. Glitches are sudden changes in the
rotational frequency of pulsars, while timing noise is a discernible stochastic
wandering in the phase, period, or spin-down rate of a pulsar. We present the
timing results of a sample of glitching pulsars observed using the Ooty Radio
Telescope (ORT) and the upgraded Giant Metrewave Radio Telescope (uGMRT). Our
findings include timing noise analysis for 17 pulsars, with seven being
reported for the first time. We detected five glitches in four pulsars and a
glitch-like event in J1825-0935. The frequency evolution of glitch in pulsars,
J0742-2822 and J1740-3015, is presented for the first time. Additionally, we
report timing noise results for three glitching pulsars. The timing noise was
analyzed separately in the pre-glitch region and post-glitch regions. We
observed an increase in the red noise parameters in the post-glitch regions,
where exponential recovery was considered in the noise analysis. Timing noise
can introduce ambiguities in the correct evaluation of glitch observations.
Hence, it is important to consider timing noise in glitch analysis. We propose
an innovative glitch verification approach designed to discern between a glitch
and strong timing noise. The novel glitch analysis technique is also
demonstrated using the observed data.
