Caution: Translations of Quran and Ḥadīth may lead to possible misapplications and misinterpretations. This site is intended for students of sacred knowledge that are proficient in comprehending classical Arabic and have a strong foundation in Islamic sciences. Also note that religious injunctions rely on several aspects beyond what one may glean through reading individual aḥādīth.
Qurʾān Bukhārī Muslim Nasāʾī Abū Dāwūd Tirmidhī Ibn Mājah Mālik Aḥmad Dārimī Ḥākim Ibn Ḥibbān Ṭabarānī Nasāʾī's Kubrá Bayhaqī al-Luʾluʾ wa-al-Marjān Ibn Rajab's Fifty Riyāḍ al-Ṣāliḥīn Aḥmad's Zuhd Suyūṭī
suyuti:15292a –
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السيوطي:١٥٢٩٢a –

"صِيامُ يَوَم عَرَفَةَ يَعْدِل السَّنَةَ وَالتَّى تَلِيها، وَصِيَامُ عاشوراءَ يَعْدِلُ سَنَةً".  

ابن أَبي الدنيا في فضل عشر ذي الحجة عن أَبي قتادة

See similar narrations below:

Collected by Bayhaqī
bayhaqi:8381 – Abū al-Ḥusayn Muḥammad b. al-Ḥusayn b. Muḥammad b. al-Faḍl al-Qaṭṭān> Abū ʿAlī Ismāʿīl b. Muḥammad al-Ṣaffār > ʿAbdullāh b. Ayyūb al-Makhramī > Sufyān b. ʿUyaynah > Dāwud b. Shābūr > Abū Qazaʿah > Abū al-Khalīl > Abū Ḥarmalah > Abū Qatādah

[Machine] The Prophet ﷺ said: The fasting of the Day of Arafah is an expiation for the sins of the previous year and the coming year, and the fasting of the Day of Ashura is an expiation for the sins of the previous year.  

البيهقي:٨٣٨١ – أَخْبَرَنَا أَبُو الْحُسَيْنِ مُحَمَّدُ بْنُ الْحُسَيْنِ بْنِ مُحَمَّدِ بْنِ الْفَضْلِ الْقَطَّانُ بِبَغْدَادَ ثنا أَبُو عَلِيٍّ إِسْمَاعِيلُ بْنُ مُحَمَّدٍ الصَّفَّارُ ثنا عَبْدُ اللهِ بْنُ أَيُّوبَ الْمَخْرَمِيُّ ثنا سُفْيَانُ بْنُ عُيَيْنَةَ عَنْ دَاوُدَ بْنِ شَابُورَ عَنْ أَبِي قَزَعَةَ عَنْ أَبِي الْخَلِيلِ عَنْ أَبِي حَرْمَلَةَ عَنْ أَبِي قَتَادَةَ يَبْلُغُ بِهِ

النَّبِيَّ ﷺ صَوْمُ يَوْمِ عَرَفَةَ كَفَّارَةُ سَنَةٍ وَالَّتِي تَلِيهَا وَصَوْمُ يَوْمِ عَاشُورَاءَ كَفَّارَةُ سَنَةٍ